Publications (Books/Proceedings)
- Carvalho, A. N., Langa, J. A. and Robinson, J. C.,
Attractors for infinite-dimensional
non-autonomous dynamical systems
- Applied
Mathematical Sciences 182 - ISBN 978-1-4614-4580-7 -
Springer-Verlag 2012.
- Carvalho, A. N., Langa, J. A. and Robinson, J. C.,
Attractors for infinite-dimensional
non-autonomous dynamical systems: Second eddition
- Applied
Mathematical Sciences - To appear,
Springer-Verlag.
- Carvalho, A. N.;
Langa, J. A. and
Robinson, J. C. (Editors),
Asymptotic Dynamics of Non-autonomous Systems
- Discrete and Continuous Dynamical Systems - Series B , Special issue on the asymptotic dynamics of non-autonomous systems, 20 (3) - ISSN 1531-3492, Preface DOI AIMS - May 2015.
- Carvalho, A. N.;
Ruf, B.;
dos Santos, E. M.;
Gossez, J-P.;
Soares, S. H. M.
and Cazenave, T. (Editors),
Contributions to Nonlinear Elliptic Equations
and Systems: A Tribute to Djairo Guedes de Figueiredo on the Occasion
of his 80th Birthday - Progress in Nonlinear Differential Equations and their Applications, ISBN 978-3-319-19901-6, Birkäuser/Springer, New York 2015.
-
Bortolan, M. C. ,
Carvalho, A. N. and
Langa, J. A.
Attractors Under Autonomous and Non-autonomous Perturbations, - Mathematical Surveys and Monographs, V. 246, - ISBN 978-1470453084, American Mathematical Society, Providence RI 2020.
Publications (Journals)
[01] Carvalho, A. N. and
Hale, J.K.,
Large Diffusion with Dispersion. Nonlinear
Analysis-Theory Methods and Applications, 17 (12) 1139-1151
(1991). (A2)
[02]
Arrieta J.M., Carvalho, A. N. and Hale, J.K.
A Damped Hyperbolic Equation with Critical
Exponent. Communications
in Partial Differential Equations, 17 (5-6) 841-866
(1992). (A1)
[03] Carvalho,
A.N. Spatial Homogeneity in
Damped Hyperbolic Equations.
Dynamic Systems
and Applications, 1 (3) 221-250 (1992). (NC)
[04] Carvalho, A. N. and Oliveira, L.A.F. Delay-Partial Differential Equations with Some Large
Diffusion. Nonlinear
Analysis-Theory Methods and Applications, 22 (9) 1057-1095
(1994). (A2)
[05] Carvalho, A. N. and Pereira, A.L. A scalar parabolic equation whose asymptotic behavior
is dictated by a system of ODE. Journal
of Differential Equations, 112 (1) 81-130 (1994). (A1)
[06] Carvalho,
A.N. Contracting Sets and
Dissipation. Proceedings of
the Royal Society of Edinburgh: Section A - Mathematics, 125A (6) 1305-1329 (1995).
(A1)
[07] Carvalho, A. N. Infinite Dimensional Dynamical Systems Described by ODE.
Journal
of Differential Equations, 116 (2) 338-404 (1995). (A1)
[08] Carvalho, A. N. and Ruas-Filho,
J.G. Global Attractors for Parabolic
Problems in Fractional Power Spaces. SIAM
Journal on Mathematical Analysis, 26 (2) 415-427 (1995).
(A1)
[09] Carvalho, A. N., Oliva, S.M. , Pereira, A.L., and Rodriguez-Bernal, A. Attractors for Parabolic Problems with Nonlinear
Boundary Conditions, Journal
of Mathematical Analysis and Applications, 207 (2) 409-461
(1997). (A2)
[10] Carvalho, A. N. and Cuminato, J.A.
Reaction-Diffusion Problems in Cell Tissues.
Journal
of Dynamics and Differential Equations , 9 (1) 93-131
(1997). (A2)
[11] Carvalho,
A.N.,Parabolic Problems with
Non-linear Boundary Conditions
in Cell Tissues. Resenhas do Instituto de
Matemática e Estatística - USP, 3 (1) 125-140
(1997). (NC)
[12] Carvalho,
A.N., Cholewa,
J.W. and Dlotko,
Tomasz, Examples of Global Attractors in
Parabolic Problems.
Hokkaido University
Mathematical Journal, 27 (1) 77-103 (1998). (B2)
[13] Carvalho, A. N., Dlotko, Tomasz and Rodrigues, H.M. Upper Semicontinuity of Attractors and Synchronization.
Journal
of Mathematical Analysis and Applications, 220 (1) 13-41
(1998). (A2)
[14] Carvalho, A. N. and Dlotko, Tomasz Parabolic Problems in H1 with Fast Growing
Nonlinearities. Nonlinear
Analysis-Theory Methods and Applications, 33 (4) 391-399
(1998). (A2)
[15] Arrieta, J.M., Carvalho, A. N. and Rodriguez-Bernal, A. Critical Nonlinearities at the Boundary. Comptes
Rendus de l'Académie des Sciences, 327 Série
I-Mathematics, 353-358 (1998). (A4)
[16] Arrieta, J.M., Carvalho, A. N. and Rodriguez-Bernal, A. Perturbation of the Diffusion and Upper Semicontinuity
of Attractors. Applied
Mathematics Letters, 12 (5) 37-42 (1999). (A2)
[17] Arrieta, J.M., Carvalho, A. N. and Rodriguez-Bernal, A. Parabolic Problems with Nonlinear Boundary Conditions
and Critical Nonlinearities. Journal
of Differential Equations, 156 (2) 376-406 (1999). (A1)
[18] Carvalho,
A.N., Cholewa,
J.W. and Dlotko,
Tomasz Global Attractors for Problems
with Monotone Operators.
Bollettino
della Unione Matematica Italiana, Vol. II-B (03) 693-706
(1999). (B2)
[19] Arrieta, J.M., Carvalho, A. N. Abstract
Parabolic Problems with Critical Nonlinearities and Applications to
Navier-Stokes and Heat Equations. Transactions
of the American Mathematical Society, 352 285-310 (2000).
(A1)
[20] Arrieta, J.M., Carvalho, A. N. and Rodriguez-Bernal, A. Attractors for Parabolic Problems with Nonlinear
Boundary Condition. Uniform Bounds. Communications
in Partial Differential Equations 25 (1-2),1-37 (2000). (A1)
[21] Carvalho,
A.N. and Hines, G.
Lower semicontinuity of attractors for
gradient systems.
Dynamic
Systems and Applications 9 (1) 37-50 (2000). (NC)
[22] Carvalho,
A.N. and Primo M.R.T.
Boundary Synchronization in Parabolic
Problems with
Nonlinear Boundary Conditions. Dynamics
of Continuous, Discrete and Inpulsive Systems, 7 (4) 541-560
(2000).(B4)
[23] Bruschi, S.M., Carvalho, A. N. and Ruas-Filho, J.G. The dynamics of a one-dimensional parabolic problem
versus the dynamics of its discretization. Journal
of Differential Equations 168 (1) 67-92 (2000). (A1)
[24] Arrieta, J.M., Carvalho, A. N. and Rodriguez-Bernal, A. Upper Semicontinuity of Attractors for Parabolic
Problems with Localized Large Diffusion and Nonlinear Boundary
Conditions. Journal
of Differential Equations 168 (1) 33-59 (2000). (A1)
[25] Carvalho, A. N. and Gentile, C.B. Comparison results for Nonlinear Parabolic Equations
with Monotone Principal Part. Journal
of Mathematical Analysis and Applications , 259 (1)
319-337 (2001). (A2)
[26]
Carvalho, A. N., Cholewa,
J.W. and Dlotko,
Tomasz Abstract Parabolic Problems in
Ordered Banach Spaces.
Colloquium
Mathematicum, 90 (1) 1-17 (2001). (B2)
[27] Carvalho, A. N. and Cholewa, J.W. Attractors for Strongly Damped Wave Equation with
Critical Nonlinearities. Pacific
Journal of Mathematics 207 (2) (2002). (A3)
[28]
Carvalho, A. N. and Cholewa, J.W. Local Well Posedness for Strongly Damped Wave Equation
with Critical Nonlinearities. Bulletin
of the Australian Mathematical Society 66 443-463 (2002). (B2)
[29] Carvalho, A. N. and Gentile, C.B. Asymptotic Behavior of Nonlinear Parabolic Equations
with Monotone Principal Part. Journal
of Mathematical Analysis and Applications 280 (2) 252-272
(2003). (A2)
[30] Arrieta, J. M. and Carvalho, A. N.
Spectral Convergence and Nolinear Dynamics of
Reaction Diffusion Equations Under Perturbations of the Domain. Journal
of Differential Equations, 199 (1) 143-178
(2004). (A1)
[31]
Carvalho, A. N. and Dlotko, Tomasz Partially Dissipative Systems in Uniformly Local Spaces
Colloquium
Mathematicum, 100 (2) 221-242 (2004). (B2)
[32] Carvalho, A. N. and Primo M.R.T. Spatial Homogeneity in Parabolic Problems with
Nonlinear Boundary Conditions. Communication
in Pure and Applied Analysis 3 (4)
637-651 (2004). (A2)
[33] Abreu, E. A. M. and Carvalho, A. N. Lower
Semicontinuity of Attractors for Parabolic Problems with Dirichlet
Boundary Conditons in Varying Domains, Matemática
Contemporânea, 27 37-51 (2004) . (NC)
[34] Carvalho, A. N. and Cholewa, J.W. Continuation and asymptotics to semilinear parabolic
equations with critical nonlinearities, Journal
of Mathematical Analysis and Applications, 310 (2) 557-578
(2005). (A2)
[35]
Carvalho, A. N. and Piskarev, S. A general approximation scheme for attractors of
abstract parabolic problems. Numerical
Functional Analysis and Optimization 27 (7-8) 785 - 829
(2006). (A4)
[36]
Carvalho, A. N. and Lozada-Cruz,
G. On parabolic equations with large
diffusion in dumbbell domains. Revista
de Matemática e Estatística, 24 (2)
91-106 (2006). (NC)
[37] Bruschi,
S. M.,
Carvalho, A. N., Cholewa,
J.W. and Dlotko,
Tomasz "Uniform
exponential dichotomy and continuity of attractors for singularly
perturbed damped wave equation. Journal
of Dynamics and Differential Equations 18 (3) 767-814 (2006). (A2)
[38] Arrieta, J. M., Carvalho, A. N. and Lozada-Cruz, G Dynamics in dumbbell domains I. Continuity of the set
of equilibria, Journal
of Differential Equations, 231 551-597 (2006). (A1)
[39] Carvalho, A. N. and Lozada-Cruz, G. Patterns in Parabolic Problems with Nonlinear Boundary
Conditions. Journal
of Mathematical Analysis and Applications, 325 1216-1239
(2007). (A2)
[40] Carvalho, A. N. and Langa, J.A., Non-autonomous
perturbation of autonomous semilinear differential equations:
Continuity of local stable and unstable manifolds. Journal
of Differential Equations, 233 622653 (2007). (A1)
[41] Carvalho, A. N., Langa, J.A., Robinson, J. C. and A. Suárez Characterization
of non-autonomous attractors of a perturbed infinite-dimensional
gradient system. Journal
of Differential Equations, 236 (2007) 570603. (A1)
[42] Carvalho, A. N. and Cholewa, J.W. Strongly damped wave equations W1, p x Lp.
Discrete
and Continuous Dymanical Systems - Series A, Suppl. (2007) 230-239. (A2)
[43]
Carvalho, A. N. and Bruschi,
S.M., Upper
semicontinuity of Attractors for the discretization of a strongly
damped wave equation. Matemática
Contemporânea, 32
39-62 (2007). (NC)
[44] Carvalho, A. N. and Cholewa, J.W. Regularity of the solutions on the global attractor
for a semilinear hyperbolic damped wave equation, Journal
of Mathematical Analysis and Applications, 337 (2008)
932948. (A2)
[45] Carbone, V.L., Carvalho, A. N. and Schiabel-Silva, K. Continuity of attractors for parabolic problems with
localized large diffusion. Nonlinear
Analysis: Theory, Methods and Applications, 68 (3) (2008) 515-535. (A2)
[46] Carvalho, A. N., Cholewa, J.W. and Dlotko, Tomasz Strongly damped wave problems: bootstrapping and
regularity of solutions. Journal
of Differential Equations, 244
2310-2333 (2008). (A1)
[47] Carvalho, A. N. and Dlotko, Tomasz Dynamics of the viscous Cahn-Hilliard Equation, Journal
of Mathematical Analysis and Applications, 344 (2) 703-325 (2008). (A2)
[48]
Carvalho, A. N., Dlotko,
Tomasz and Nascimento, M.J.D.
Non-autonomous semilinear evolution equations
with almost sectorial operators''. Journal
of Evolution Equations, 8
(4) 631659 (2008). (A2)
[49]
Carvalho, A. N. and Cholewa, J.W. Local well posedness, asymptotic bootstrapping and
asymptotic behavior for a class of semilinear evolution equations of
second order in time. Transactions
of the American Mathematical Society, 361 (5)
2567-2586, (2009). (A1)
[50]
Carvalho, A. N., Langa, J. A., An
extension of the concept of gradient systems which is stable under
perturbation. Journal
of Differential Equations, 246
(7) 2646-2668 (2009). (A1)
[51] Carbone, V.L., Carvalho, A. N. and Schiabel-Silva, K. Continuity of the dynamics in a localized large
diffusion problem with nonlinear boundary conditions, Journal
of Mathematical Analysis and Applications, 356 (1) 69-85 (2009). (A2)
[52]
Carvalho, A. N., Cholewa,
J.W. and Dlotko,
Tomasz Damped wave equations with fast
growing dissipative nonlinearities. Discrete
and Continuous Dymanical Systems - Series A, 24 (4) 1147-1165 (2009). (A2)
[53] Arrieta, J.M., Carvalho, A. N. and Lozada-Cruz, G. Dynamics in dumbbell domains II. The Limiting Problem,
Journal
of Differential Equations,
247 (1) 174-202 (2009).
(A1)
[54] Arrieta, J.M., Carvalho, A. N. and Lozada-Cruz, G. Dynamics in dumbbell domains III. Continuity of
Attractors, Journal
of Differential Equations, 247 (1)
225-259 (2009). (A1)
[55]
Carvalho, A. N., Langa, J. A., and Robinson, J. C. On the continuity of pullback attractors for evolution
processes, Nonlinear
Analysis: Theory, Methods and Applications, 71 (5-6) 1812-1824 (2009). (A2)
[56]
Carvalho, A. N. and Nascimento,
M.J.D. Singularly non-autonomous
semilinear parabolic
problems with critical exponents and applications''. Discrete
and Continuous Dymanical Systems - Series S, 2 (3) 449-471 (2009). (B1)
[57]
Carvalho, A. N., Langa, J.A., and Robinson, J. C. Lower Semicontinuity of attractors for non-gradient
dynamical systems. Ergodic
Theory and Dynamical Systems, 29 (6)
1765-1780 (2009). (A2)
[58]
Caraballo, T., Carvalho, A. N., Langa, J. A. and L. F. Rivero Existence of pullback attractors for pullback
asymptotically compact processes, Nonlinear
Analysis: Theory, Methods and Applications, 72 (3-4) 1967-1976 (2010). (A2)
[59]
Carvalho, A. N., Langa, J. A., and Robinson, J. C. Finite-dimensional global attractors in Banach spaces. Journal
of Differential Equations, 249
(12) 30993109 (2010). (A1)
[60] Caraballo, T.,
Carvalho,
A.N.,
Langa, J. A., and L. F. Rivero A gradient-like non-autonomous evolution processes.
International
Journal of Bifurcation and Chaos, 20
(9) 2751-2760 (2010). (B1)
[61] Caraballo,
T.,
Carvalho,
A.N.,
Langa, J. A., and L. F. Rivero A non-autonomous strongly damped wave equation:
existence and continuity of the pullback attractor, Nonlinear
Analysis: Theory, Methods and Applications, 74 2272-2283 (2011). (A2)
[62] Aragão-Costa, E. R., Caraballo, T.,
Carvalho, A. N. and Langa,
J. A. Stability of gradient semigroups
under perturbations.
Nonlinearity,
24 20992117
(2011). (A1)
[63] Arrieta J.M.,
Carvalho, A. N., Pereira, M.
C. and Rilva, R. P. Semilinear parabolic problems in thin domains with a
highly oscillatory boundary, Nonlinear
Analysis: Theory, Methods and Applications, 74 51115132
(2011). (A2)
[64]
Carvalho, A. N., Cholewa,
J.W. Exponential global attractors for
semigroups in metric spaces with applications to differential equations.
Ergodic
Theory and Dynamical Systems, 31 (6) 16411667 (2011). (A2)
[65] Carvalho,
A.N., Langa, J. A., and Robinson, J. C. Structure
and bifurcation of pullback attractors in a non-autonomous
Chafee-Infante equation. Proceedings
of the American Mathematical Society, 140 (2012), 2357-2373. (A3)
[66] Aragão-Costa, E. R., Caraballo, T.,
Carvalho, A. N. and Langa,
J. A. Continuity of Lyapunov functions
and of energy levels for generalized gradient semigroups.
Topological Methods in Nonlinear
Analysis, 39 57-82 (2012).
(A4)
[67] Bortolan, M. C.
Caraballo, T.,
Carvalho, A. N. and Langa,
J. A. An estimate on the fractal
dimension of attractors of gradient-like dynamical systems,
Nonlinear
Analysis: Theory, Methods and Applications, 75 (14) 5702-5722 (2012)
(A2).
[68] Arrieta,
J.M., Carvalho, A. N., Langa, J.A., and Rodriguez-Bernal, A. Continuity of dynamical structures for non-autonomous
evolution equations under singular perturbations. Journal
of Dynamics
and Differential Equations 24 (3) 427-481 (2012). (A2)
[69]
Carvalho, A. N., Cholewa,
J.W., Lozada-Cruz, G.
and Primo, M.R.T. Reduction of infinite dimensional systems to finite
dimensions: Compact convergence approach. SIAM Journal on Mathematical Analysis, 45, 600-638, (2013). (A1)
[70] Carvalho,
A. N. and Sonner, S. Pullback exponential attractors for evolution
processes in Banach spaces: Theoretical results,
Communications on Pure and Applied Analysis, 12 (6) 3047-3071 (2013). (A2).
[71] Arrieta J.M.,
Bezerra, F. D. M.
and Carvalho, A. N. Rate of convergence of attractors for some singularly
perturbed parabolic problems.
Topological Methods in Nonlinear
Analysis, 41 (2) 229-253 (2013). (A4)
[72] Aragão-Costa, E. R., Caraballo, T.,
Carvalho, A. N. and Langa,
J. A. Non-autonomous Morse decomposition
and Lyapunov functions for gradient-like processes,
Transactions
of the American Mathematical Society, 365 (10) 5277-5312 (2013). (A1).
[73] Bortolan, M. C.
Caraballo, T.,
Carvalho, A. N. and Langa,
J. A. Skew Product Semiflows and Morse Decomposition, Journal
of Differential Equations, 255 (2013) 2436-2462 (A1)
[74]
Aragão-Costa, E. R.,
Carvalho, A. N., Planas,
G. and Marin, P. Gradient-like nonlinear semigroups with infinitely
many equilibria and applications to cascade systems.
Topological Methods in Nonlinear
Analysis, 42 (2) 345-376 (2013). (A4)
[75]
Carvalho, A. N.
and Sonner, S.,
Pullback Exponential Attractors for Evolution Processes in Banach Spaces: Properties and Applications,
Communications on Pure and Applied Analysis, 13 (3) 1141-1165 (2014). (A2).
[76]
Carvalho, A. N., Cholewa,
J.W. and Dlotko,
Tomasz Equi-exponential attraction and
rate of convergence of attractors for singularly perturbed evolution
equations. Proceedings of the Royal Society of Edinburgh, Section A - Mathematics 144A 13-51 (2014). (A1)
[77]
Bortolan, M. C.
and
Carvalho, A. N. and
Langa, J. A.
Structure of attractors for skew product semiflows, Journal of Differential Equations, 257 (2) 490-522 (2014). (A1)
[78]
Carvalho, A. N.,
Langa, J. A. and
Robinson, J. C.
Non-autonomous dynamical systems, Discrete and Continuous Dynamical Systems - Series B, 20 (3) 703-747 (2015). (A3)
[79]
Andrade, B.,
Carvalho, A. N., Carvalho-Neto,
P. M. and Marin, P. Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results. Topological Methods in Nonlinear Analysis, 45, (2) 439-468 (2015). (A4)
[80]
Bonotto, E. M.
Bortolan, M. C.
Carvalho, A. N., Czaja, R.
Attractors for impulsive dynamical systems,
Journal of Differential Equations, 259 (7) 2602-2625 (2015). (A1)
[81] Bortolan, M. C. and
Carvalho, A. N. Damped
wave equations and their Yosida Approximations,
Topological Methods in Nonlinear
Analysis, 46 (2) 563-602 (2015). (A4)
[82] Carvalho,
A.N., Cholewa,
J.W., and Nascimento,
M.J.D. On the continuation of solutions
of non-autonomous semilinear parabolic problems,
Proceedings of the Edinburgh Mathematical Society, 59 (1) 17-55 (2016). (A4)
[83]
Caraballo, T. ,
Carvalho, A. N.,
Costa, H. B. and
Langa, J. A.
"Equi-attraction and continuity of attractors for skew-product semiflows", Discrete and Continuous Dynamical Systems - Series B, 21 (9) 2949-2967 (2016). (A3)
[84]
Bezerra, F. D. M.,
Carvalho, A. N.,
Cholewa,
J.W.
and
Nascimento,
M.J.D. Parabolic approximation of damped
wave equations via fractional powers: fast growing nonlinearities and
continuity of the dynamics ",
Journal of Mathematical Analysis and Applications, 450 (1) 377-405 (2017). (A2)
[85]
Carvalho, A. N. and
Pires, L. ,
Rate of Convergence of Attractors for Singularly Perturberd Semilinear Problems, Journal of Mathematical Analysis and Applications, 452 (1) 258-296 (2017). (A2)
[86]
Cholewa, J.W. and
Carvalho, A. N. NLS-like equations in bounded domains: parabolic approximation procedure, Discrete and Continuous Dynamical Systems - Series B, 23 (1) 57-77 (2018). (A3)
[87]
Bezerra, F. D. M.,
Carvalho, A. N.,
Dlotko, Tomasz,
and Nascimento,
M.J.D. Fractional Schrodinger Equation; solvability, asymptotic behaviour and connection with classical Schrodinger Equation,
Journal of Mathematical Analysis and Applications, 457 (1) 336-360 (2018). (A2)
[88]
Caballero, R.,
Carvalho, A. N.,
Marín-Rubio, P. and
Valero, J.
Robustness of dynamically gradient multivalued dynamical systems, Discrete and Continuous Dynamical Systems - Series B, 24 (3) 1049-1077 (2019). (A3)
[89]
Carvalho, A. N. and
Pires, L. ,
Parabolic equations with localized large diffusion: Rate of convergence of attractors,
Topological Methods and Nonlinear Analysis, 53 (1) 1-23 (2019). (A4)
[90]
Carvalho, A. N. and
Pimentel, J. F. S. ,
Autonomous and non-autonomous unbounded attractors under perturbations, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149 (4), 877-903 (2019). (A1)
[91]
Broche, R. C. D. S.,
Carvalho, A. N. and Valero, J.
A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics, Nonlinearity, 32 4912-4941 (2019). (A1)
[92]
Carvalho, A. N., Langa, J. A. and Robinson, J. C.
Forwards dynamics of non-autonomous dynamical
systems: driving semigroups without backwards uniqueness and structure
of the attractor.,
Communications on Pure and Applied Analysis,
19 (4) 1997-2013 (2020). (A2)
[93]
Bruschi, Simone M.
Carvalho, A. N.
and
Pimentel, Juliana F. S. ,
Limiting grow-up behavior for a one-parameter family of dissipative PDEs, Indiana Univ. Math. J. 69 (2) 657-683 (2020). (A1)
[94]
Bortolan, M. C.,
Carvalho, A. N., Cardoso, C. and Pires, L.
Lipschitz perturbations of Morse-Smale semigroups,
Journal of Differential Equations,
269 (3) 1904-1943 (2020) (A1)
[95]
Bezerra, F. D. M.,
Carvalho, A. N.
and Nascimento,
M.J.D. Fractional approximations of abstract semilinear parabolic problems
,
Discrete and Continuous Dynamical Systems - Series B,
25 (11) 4221-4255 (2020). (A3)
[96]
Carvalho, A. N. , Li, Yanan, Mamani-Luna, T. L. and Moreira, E. M., A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation.
Communications on Pure and Applied Analysis, 19 (11) 5181-5196 (2020).(A2)
[97]
Caballero, R.,
Carvalho, A. N.,
Marín-Rubio, P. and
Valero, J.
About the structure of attractors for a nonlocal Chafee-Infante problem.
Mathematics, 9 (4), p. 353, (2021).
[98]
Caraballo, T., Carvalho, A. N., Langa, J. A., and Oliveira-Sousa, A. N.
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations.
Journal of Mathematical Analysis and Applications, 500 (2) 125134 (2021). (A2)
[99]
Carvalho, A. N., Cui, H., Cunha, A. C. and Langa, J. A.
Smoothing and finite-dimensionality of uniform attractors in Banach spaces.
Journal of Differential Equations, 285 383-428 (2021). (A1)
[100]
Carvalho, A. N., Moreira, E. M.
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem.
Journal of Differential Equations,
300, 312-336 (2021). (A1)
[101]
Carvalho, A. N., Langa, J. A., Robinson, J. C. and
Cunha, A. C.
Finite dimension of negatively invariant subsets of Banach spaces.
Journal of Mathematical Analysis and Applications, 509 (2022) 125945. (A2)
[102]
Caraballo, T., Carvalho, A. N., Langa, J. A., and Oliveira-Sousa, A. N.Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations. Asymptotic Analysis, 129 (1), 1-27, 2022. (A3)
[103]
Bezerra, F.D.M. , Carvalho, A. N., Santos, L.A. .
Well-posedness for some third-order evolution differential equations: A semigroup approach Journal of Evolution Equations, (2022) 22 (2) Article 53. (A2)
[104]
Bortolan, M. C.,
Carvalho, A. N., Langa, J. A. and Raugel, G.
Non-autonomous perturbations of Morse-Smale semigroups: stability of the phase diagram.
Journal of Dynamics and Differential Equations, 34, 2681-2747 (2022). (A2)
[105]
Caraballo, T., Carvalho, A. N., Langa, J. A., and Oliveira-Sousa, A. N.Continuity and topological structural stability for nonautonomous random attractors. Stochastic and Dynamics , 22 (07) 2240024 (2022).
[106]
Carvalho, A. N., Langa, J. A., Obaya, R. and Rocha, L. R. N.
Structure of non-autonomous attractors for a class of diffusively coupled ODE. Discrete and Continuous Dynamical Systems - Series B, 2023, 28 (1): 426-448. (A3).
[107]
Carvalho, A. N., Mamani-Luna, T. L.,
A bifurcation problem for one-dimensional elliptic equation with p-Laplacian operator and general absorption.
Journal of Differential Equations, 373 (15), 446-475 (2023).
[108] Caraballo, T., Carvalho, A. N., Lopez-Lazaro, H. L , Modified Non-Newtonian Incompressible Fluids.
Journal of Mathematical Physics, 64, 112701 (2023).
[109]
Arrieta J.M. Carvalho, A. N., Moreira, E.M and Valero, J. Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem. Advances in Differential Equations, 29 (1/2), 1-26, ( 2024).
[110] Banaśkiewicz, J., Carvalho, A. N., Garcia-Fuentes, J. Kalita, P. , Autonomous and non-autonomous unbounded attractors in evolutionary problems.
Journal of Dynamics and Differential Equations, Published online: December 2022
(2022), Accepted for publication.
[111] Bezerra, F. D. M. Carvalho, A. N., Santos, L. A. Takaessu Jr., C. R. , Spectral Analysis for some Third-Order Differential Equations: A Semigroup Approach. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
Accepted for publication.
[112]
Carvalho, A. N., Lappicy, P. , Moreira, E. M., and Oliveira-Sousa, A. N.
Inertial manifolds, saddle point property and exponential dichotomy. Submitted for Publication.
[113]
Bortolan, M. C., Carvalho, A. N., Marin-Rubio, P., and Valero, J.Weak global attractors for the 3D-Navier-Stokes equations via the Globally Modified Navier-Stokes Equation. Submitted for Publication.
[114]
Bonotto, E.M., Carvalho, A. N., Nascimento, M.J.D., and Santiago, E.B.Lower semicontinuity of pullback attractors for a non-autonomous coupled system of strongly damped wave equations. Submitted for Publication.
[115] Carvalho, A. N., Simsen, J., Simsen, M.S.,
Attractors for parabolic problems with p(x)-laplacian: bounds, continuity and comparison results. Submitted for publication.
[116] Caraballo, T., Carvalho, A. N., Julio, Yessica, Existence, regularity and asymptotic behavior of solutions for a nonlocal Chafee-Infante Problem via semigroup theory Submitted for publication.
[117] Caraballo, T., Carvalho, A. N., Julio, Yessica, A delay nonlocal quasilinear Chafee-Infante problem: An approach via semigroup theory Submitted for publication.
[118] Carvalho, A. N., Mamani-Luna, T. L.,
A non-autonomous bifurcation problem for a scalar one dimension degenerated parabolic problem. Preprint.
[119] Carvalho, A. N., Lappicy, P. ... , Nonautonomous Chafee-Infante attractors: a connection matrix approach. In preparation.
[120] Carvalho, A. N., José Antonio Langa, Rafael de Oliveira Mora , Finite fractal dimension of uniform attractors for non-autonomous dynamical systems with infinite dimensional symbol space
Preprint.
Publications (Proceedings)
[01] Carvalho, A. N.
and Ruas-Filho, J.G.
Perturbação de Operadores de
Evolução e Dicotomias. Atas do 26
Seminário Brasileiro de Análise. IM-UFRJ, (1987).
[02]
Carvalho, A. N. and Primo, M. R. T. Semicontinuidade de Attratores. Atas do 44
Seminário Brasileiro de Análise, FFCLRP-USP,
Ribeirão Preto-SP, (1996).
[03]
Carvalho, A. N. and Primo, M. R. T. Sincronização Através da
Fronteira
em Problemas Parabólicos com Condição de Fronteira
Não Linear. Atas do 48 Seminário Brasileiro
de Análise. LNCC-Petrópolis-RJ, (1998).
[04]
Bruschi, S.
Carvalho, A. N. and Ruas-Filho, J.G. The dynamics of a one-dimensional parabolic problems
versus the dynamics of its discretization. Atas do 52
Seminário Brasileiro de Análise, São José
dos Campos, Novembro (2000).
[05]
Carvalho, A. N. and Santos, J. S. The delay effect on reaction-diffusion equations.
Atas do 52 Seminário Brasileiro de Análise, São
José dos Campos, Novembro (2000).
[06]
Bruschi, S.
Carvalho, A. N. Continuity of the Attractors for a One Dimensional
Perturbed Hyperbolic Equation." Atas do 53 Seminário
Brasileiro de Análise, Maringá, Maio de (2001).
[07]
Carvalho, A. N. and Cruz, German L. Padrões em Problemas Parabólicos.
Atas do 53 Seminário Brasileiro de Análise,
Maringá, Maio (2001).
[08]
Carvalho, A. N. and Bruschi, S. Semicontinuidade Superior de Atratores dos Problemas
da
Onda com Atrito Forte e Sua respectiva Equação
Discretizada. Atas do 54 Seminário Brasileiro de
Análise, São José do Rio Preto, 21-24 de Novembro
(2001).
[09]
Carvalho, A. N., Cruz, German L. and Primo, M. R. T. Homogeneidade Espacial em Problemas Atmosféricos.
Atas do 56 Seminário Brasileiro de Análise, Novembro
(2002).
[10]
Carvalho, A. N. and Cruz, German L. Uma observação numa
equação
de reação-difusão num domínio tipo dumbbel.
Atas do 58 Seminário Brasileiro de Análise, Novembro
(2003).
[11]
Carbone, V. L., Carvalho, A. N. and Schiabel-Silva, K. Continuity of
attractors for parabolic problems with localized large diffusion.
Atas
do 61 Seminário Brasileiro de Análise, Maio (2005).
Veja aqui as publicações por extrato do QUALIS-CAPES
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