Caraballo, Tomás; Carvalho, Alexandre N.; López-Lázaro, Heraclio Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids. (English) Zbl 07774857 J. Math. Phys. 64, No. 11, Article ID 112701, 29 p. (2023). MSC: 76A05 35Q35 PDFBibTeX XMLCite \textit{T. Caraballo} et al., J. Math. Phys. 64, No. 11, Article ID 112701, 29 p. (2023; Zbl 07774857) Full Text: DOI
Carvalho, Alexandre N.; Rocha, Luciano R. N.; Langa, José A.; Obaya, Rafael Structure of non-autonomous attractors for a class of diffusively coupled ODE. (English) Zbl 1511.37035 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 426-448 (2023). Reviewer: David Cheban (Chişinău) MSC: 37C60 37C70 34D05 34D45 34D10 PDFBibTeX XMLCite \textit{A. N. Carvalho} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 426--448 (2023; Zbl 1511.37035) Full Text: DOI
Bortolan, M. C.; Carvalho, A. N.; Langa, J. A.; Raugel, G. Nonautonomous perturbations of Morse-Smale semigroups: stability of the phase diagram. (English) Zbl 1508.37042 J. Dyn. Differ. Equations 34, No. 4, 2681-2747 (2022). MSC: 37D15 37B55 37D05 35B40 37B35 PDFBibTeX XMLCite \textit{M. C. Bortolan} et al., J. Dyn. Differ. Equations 34, No. 4, 2681--2747 (2022; Zbl 1508.37042) Full Text: DOI
Bortolan, M. C.; Cardoso, C. A. E. N.; Carvalho, A. N.; Pires, L. Lipschitz perturbations of Morse-Smale semigroups. (English) Zbl 1443.37058 J. Differ. Equations 269, No. 3, 1904-1943 (2020). Reviewer: Rodica Luca (Iaşi) MSC: 37L05 37L50 37D15 PDFBibTeX XMLCite \textit{M. C. Bortolan} et al., J. Differ. Equations 269, No. 3, 1904--1943 (2020; Zbl 1443.37058) Full Text: DOI arXiv
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. Forwards dynamics of non-autonomous dynamical systems: driving semigroups without backwards uniqueness and structure of the attractor. (English) Zbl 1446.37022 Commun. Pure Appl. Anal. 19, No. 4, 1997-2013 (2020). Reviewer: David Cheban (Chisinau) MSC: 37B55 37C70 37B35 37L05 34G20 PDFBibTeX XMLCite \textit{A. N. Carvalho} et al., Commun. Pure Appl. Anal. 19, No. 4, 1997--2013 (2020; Zbl 1446.37022) Full Text: DOI
Caraballo, Tomás; Carvalho, Alexandre N.; da Costa, Henrique B.; Langa, José A. Equi-attraction and continuity of attractors for skew-product semiflows. (English) Zbl 1368.37022 Discrete Contin. Dyn. Syst., Ser. B 21, No. 9, 2949-2967 (2016). MSC: 37B25 37L05 35B40 35B41 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 9, 2949--2967 (2016; Zbl 1368.37022) Full Text: DOI
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. Non-autonomous dynamical systems. (English) Zbl 1384.37024 Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 703-747 (2015). Reviewer: David Cheban (Chisinau) MSC: 37B55 37L05 37C70 34D30 37B35 37D15 PDFBibTeX XMLCite \textit{A. N. Carvalho} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 703--747 (2015; Zbl 1384.37024) Full Text: DOI
Bonotto, E. M.; Bortolan, M. C.; Carvalho, A. N.; Czaja, R. Global attractors for impulsive dynamical systems - a precompact approach. (English) Zbl 1356.37042 J. Differ. Equations 259, No. 7, 2602-2625 (2015). MSC: 37C70 35B41 34A37 35R12 PDFBibTeX XMLCite \textit{E. M. Bonotto} et al., J. Differ. Equations 259, No. 7, 2602--2625 (2015; Zbl 1356.37042) Full Text: DOI
Bortolan, M. C.; Carvalho, A. N.; Langa, J. A. Structure of attractors for skew product semiflows. (English) Zbl 1291.37033 J. Differ. Equations 257, No. 2, 490-522 (2014). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37C70 37L30 37C60 37D15 37B35 PDFBibTeX XMLCite \textit{M. C. Bortolan} et al., J. Differ. Equations 257, No. 2, 490--522 (2014; Zbl 1291.37033) Full Text: DOI
Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. Non-autonomous Morse decomposition and Lyapunov functions for gradient-like processes. (English) Zbl 1291.37002 Trans. Am. Math. Soc. 365, No. 10, 5277-5312 (2013). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37-02 37B25 37B35 37B55 35B40 35B41 PDFBibTeX XMLCite \textit{E. R. Aragão-Costa} et al., Trans. Am. Math. Soc. 365, No. 10, 5277--5312 (2013; Zbl 1291.37002) Full Text: DOI
Arrieta, José M.; Carvalho, Alexandre N. Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations. (English) Zbl 1297.37008 J. Dyn. Differ. Equations 24, No. 3, 427-481 (2012). Reviewer: Norbert Koksch (Dresden) MSC: 37B55 34D15 34D30 34D45 34G20 35K90 37L05 PDFBibTeX XMLCite \textit{J. M. Arrieta} and \textit{A. N. Carvalho}, J. Dyn. Differ. Equations 24, No. 3, 427--481 (2012; Zbl 1297.37008) Full Text: DOI
Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. An estimate on the fractal dimension of attractors of gradient-like dynamical systems. (English) Zbl 1248.37020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5702-5722 (2012). MSC: 37B25 28A80 28A78 37C45 PDFBibTeX XMLCite \textit{M. C. Bortolan} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5702--5722 (2012; Zbl 1248.37020) Full Text: DOI Link
Arrieta, José M.; Carvalho, Alexandre N.; Pereira, Marcone C.; Silva, Ricardo P. Semilinear parabolic problems in thin domains with a highly oscillatory boundary. (English) Zbl 1223.35038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 5111-5132 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35B41 35K58 47H20 35B40 35K20 PDFBibTeX XMLCite \textit{J. M. Arrieta} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 5111--5132 (2011; Zbl 1223.35038) Full Text: DOI
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe Existence of pullback attractors for pullback asymptotically compact processes. (English) Zbl 1195.34086 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1967-1976 (2010). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34G20 34D45 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1967--1976 (2010; Zbl 1195.34086) Full Text: DOI Link
Carvalho, A. N.; Cholewa, J. W. Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time. (English) Zbl 1169.35010 Trans. Am. Math. Soc. 361, No. 5, 2567-2586 (2009). MSC: 35G25 35B33 35B40 35B41 35B65 35A07 PDFBibTeX XMLCite \textit{A. N. Carvalho} and \textit{J. W. Cholewa}, Trans. Am. Math. Soc. 361, No. 5, 2567--2586 (2009; Zbl 1169.35010) Full Text: DOI
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.; Suárez, Antonio Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. (English) Zbl 1119.37023 J. Differ. Equations 236, No. 2, 570-603 (2007). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37C70 37C60 37D10 PDFBibTeX XMLCite \textit{A. N. Carvalho} et al., J. Differ. Equations 236, No. 2, 570--603 (2007; Zbl 1119.37023) Full Text: DOI Link
Carvalho, Alexandre N.; Langa, José A. Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds. (English) Zbl 1122.34038 J. Differ. Equations 233, No. 2, 622-653 (2007). Reviewer: Norbert Koksch (Dresden) MSC: 34G20 37B55 34D10 34D35 34D45 PDFBibTeX XMLCite \textit{A. N. Carvalho} and \textit{J. A. Langa}, J. Differ. Equations 233, No. 2, 622--653 (2007; Zbl 1122.34038) Full Text: DOI
Carvalho, Alexandre N.; Gentile, Cláudia B. Asymptotic behaviour of nonlinear parabolic equations with monotone principal part. (English) Zbl 1053.35027 J. Math. Anal. Appl. 280, No. 2, 252-272 (2003). Reviewer: Peter Poláčik (Minneapolis) MSC: 35B41 37L30 35K65 35K90 47H05 35B40 PDFBibTeX XMLCite \textit{A. N. Carvalho} and \textit{C. B. Gentile}, J. Math. Anal. Appl. 280, No. 2, 252--272 (2003; Zbl 1053.35027) Full Text: DOI
Carvalho, Alexandre N.; Gentile, Claudia B. Comparison results for nonlinear parabolic equations with monotone principal part. (English) Zbl 1019.35058 J. Math. Anal. Appl. 259, No. 1, 319-337 (2001). Reviewer: Petr Girg (Plzen) MSC: 35K90 35K65 35B05 PDFBibTeX XMLCite \textit{A. N. Carvalho} and \textit{C. B. Gentile}, J. Math. Anal. Appl. 259, No. 1, 319--337 (2001; Zbl 1019.35058) Full Text: DOI Link