Personal Information
Biography
Publications
-
Public
An estimate on the fractal dimension of attractors of gradient-like dynamical systems: Nonlinear Analysis, Theory, Methods and Applications 2012
Bortolan, M.C. and Caraballo, T. and Carvalho, A.N. and Langa, J.A., (2012). "An estimate on the fractal dimension of attractors of gradient-like dynamical systems", Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 14, pp. 5702-5722 -
Public
Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations: Journal of Dynamics and Differential Equations 2012
Arrieta, J.M. and Carvalho, A.N. and Langa, J.A. and Rodriguez-Bernal, A., (2012). "Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations", Journal of Dynamics and Differential Equations, vol. 24, no. 3, pp. 427-481 -
Public
Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup: Topological Methods in Nonlinear Analysis 2012
Aragão-Costa, E.R. and Caraballo, T. and Carvalho, A.N. and Langa, J.A., (2012). "Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup", Topological Methods in Nonlinear Analysis, vol. 39, no. 1, pp. 57-82 -
Public
Gradient infinite-dimensional random dynamical systems: SIAM Journal on Applied Dynamical Systems 2012
Caraballo, T. and Langa, J.A. and Liu, Z., (2012). "Gradient infinite-dimensional random dynamical systems", SIAM Journal on Applied Dynamical Systems, vol. 11, no. 4, pp. 1817-1847 -
Public
Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation: Proceedings of the American Mathematical Society 2012
Carvalho, A.N. and Langa, J.A. and Robinson, J.C., (2012). "Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation", Proceedings of the American Mathematical Society, vol. 140, no. 7, pp. 2357-2373 -
Public
A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor: Nonlinear Analysis, Theory, Methods and Applications 2011
Caraballo, T. and Carvalho, A.N. and Langa, J.A. and Rivero, F., (2011). "A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor", Nonlinear Analysis, Theory, Methods and Applications, vol. 74, no. 6, pp. 2272-2283 -
Public
Stability of gradient semigroups under perturbations: Nonlinearity 2011
Aragão-Costa, E.R. and Caraballo, T. and Carvalho, A.N. and Langa, J.A., (2011). "Stability of gradient semigroups under perturbations", Nonlinearity, vol. 24, no. 7, pp. 2099-2117 -
Public
A gradient-like nonautonomous evolution process: International Journal of Bifurcation and Chaos 2010
Caraballo, T. and Langa, J.A. and Rivero, F. and Carvalho, A.N., (2010). "A gradient-like nonautonomous evolution process", International Journal of Bifurcation and Chaos, vol. 20, no. 9, pp. 2751-2760 -
Public
Existence of pullback attractors for pullback asymptotically compact processes: Nonlinear Analysis, Theory, Methods and Applications 2010
Caraballo, T. and Carvalho, A.N. and Langa, J.A. and Rivero, F., (2010). "Existence of pullback attractors for pullback asymptotically compact processes", Nonlinear Analysis, Theory, Methods and Applications, vol. 72, no. 3-4, pp. 1967-1976 -
Public
Finite-dimensional global attractors in Banach spaces: Journal of Differential Equations 2010
Carvalho, A.N. and Langa, J.A. and Robinson, J.C., (2010). "Finite-dimensional global attractors in Banach spaces", Journal of Differential Equations, vol. 249, no. 12, pp. 3099-3109 -
Public
On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method: Journal of Differential Equations 2010
Langa, J.A. and Rodríguez-Bernal, A. and Suárez, A., (2010). "On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method", Journal of Differential Equations, vol. 249, no. 2, pp. 414-445 -
Public
Pullback exponential attractors: Discrete and Continuous Dynamical Systems 2010
Langa, J.A. and Miranville, A. and Real, J., (2010). "Pullback exponential attractors", Discrete and Continuous Dynamical Systems, vol. 26, no. 4, pp. 1329-1357 -
Public
An extension of the concept of gradient semigroups which is stable under perturbation: Journal of Differential Equations 2009
Carvalho, A.N. and Langa, J.A., (2009). "An extension of the concept of gradient semigroups which is stable under perturbation", Journal of Differential Equations, vol. 246, no. 7, pp. 2646-2668 -
Public
Lower semicontinuity of attractors for non-autonomous dynamical systems: Ergodic Theory and Dynamical Systems 2009
Carvalho, A.N. and Langa, J.A. and Robinson, J.C., (2009). "Lower semicontinuity of attractors for non-autonomous dynamical systems", Ergodic Theory and Dynamical Systems, vol. 29, no. 6, pp. 1765-1780 -
Public
On the asymptotic behaviour of solutions of a stochastic energy balance climate model: Physica D: Nonlinear Phenomena 2009
Díaz, J.I. and Langa, J.A. and Valero, J., (2009). "On the asymptotic behaviour of solutions of a stochastic energy balance climate model", Physica D: Nonlinear Phenomena, vol. 238, no. 9-10, pp. 880-887 -
Public
On the continuity of pullback attractors for evolution processes: Nonlinear Analysis, Theory, Methods and Applications 2009
Carvalho, A.N. and Langa, J.A. and Robinson, J.C., (2009). "On the continuity of pullback attractors for evolution processes", Nonlinear Analysis, Theory, Methods and Applications, vol. 71, no. 5-6, pp. 1812-1824 -
Public
Markov attractors: A probabilistic approach to multivalued flows: Stochastics and Dynamics 2008
Flandoli, F. and Langa, J.A., (2008). "Markov attractors: A probabilistic approach to multivalued flows", Stochastics and Dynamics, vol. 8, no. 1, pp. 59-75 -
Public
Stabilisation of differential inclusions and PDEs without uniqueness by noise: Communications on Pure and Applied Analysis 2008
Caraballo, T. and Langa, J.A. and Valero, J., (2008). "Stabilisation of differential inclusions and PDEs without uniqueness by noise", Communications on Pure and Applied Analysis, vol. 7, no. 6, pp. 1375-1392 -
Public
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system: Journal of Differential Equations 2007
Carvalho, A.N. and Langa, J.A. and Robinson, J.C. and Suárez, A., (2007). "Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system", Journal of Differential Equations, vol. 236, no. 2, pp. 570-603 -
Public
Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations: Discrete and Continuous Dynamical Systems 2007
Langa, J.A. and Robinson, J.C. and Rodríguez-Bernal, A. and Suárez, A. and Vldal-López, A., (2007). "Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations", Discrete and Continuous Dynamical Systems, vol. 18, no. 2-3, pp. 483-497 -
Public
Finite fractal dimension of pullback attractors for non-autonomous 2D Navier-Stokes equations in some unbounded domains: Nonlinear Analysis, Theory, Methods and Applications 2007
Langa, J.A. and Łukaszewicz, G. and Real, J., (2007). "Finite fractal dimension of pullback attractors for non-autonomous 2D Navier-Stokes equations in some unbounded domains", Nonlinear Analysis, Theory, Methods and Applications, vol. 66, no. 3, pp. 735-749 -
Public
Flattening, squeezing and the existence of random attractors: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2007
Kloeden, P.E. and Langa, J.A., (2007). "Flattening, squeezing and the existence of random attractors", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 463, no. 2077, pp. 163-181 -
Public
Non-autonomous perturbation of autonomous semilinear differential equations: Continuity of local stable and unstable manifolds: Journal of Differential Equations 2007
Carvalho, A.N. and Langa, J.A., (2007). "Non-autonomous perturbation of autonomous semilinear differential equations: Continuity of local stable and unstable manifolds", Journal of Differential Equations, vol. 233, no. 2, pp. 622-653 -
Public
Pullback V-attractors of the 3-dimensional globally modified Navier-Stokes equations: Communications on Pure and Applied Analysis 2007
Kloeden, P.E. and Langa, J.A. and Real, J., (2007). "Pullback V-attractors of the 3-dimensional globally modified Navier-Stokes equations", Communications on Pure and Applied Analysis, vol. 6, no. 4, pp. 937-955 -
Public
The effect of noise on the Chafee-Infante equation: A nonlinear case study: Proceedings of the American Mathematical Society 2007
Caraballo, T. and Crauel, H. and Langa, J.A. and Robinson, J.C., (2007). "The effect of noise on the Chafee-Infante equation: A nonlinear case study", Proceedings of the American Mathematical Society, vol. 135, no. 2, pp. 375-382 -
Public
The stability of attractors for non-autonomous perturbations of gradient-like systems: Journal of Differential Equations 2007
Langa, J.A. and Robinson, J.C. and Suárez, A. and Vidal-López, A., (2007). "The stability of attractors for non-autonomous perturbations of gradient-like systems", Journal of Differential Equations, vol. 234, no. 2, pp. 607-625 -
Public
Bifurcations in non-autonomous scalar equations: Journal of Differential Equations 2006
Langa, J.A. and Robinson, J.C. and Suárez, A., (2006). "Bifurcations in non-autonomous scalar equations", Journal of Differential Equations, vol. 221, no. 1, pp. 1-35 -
Public
Fractal dimension of a random invariant set: Journal des Mathematiques Pures et Appliquees 2006
Langa, J.A. and Robinson, J.C., (2006). "Fractal dimension of a random invariant set", Journal des Mathematiques Pures et Appliquees, vol. 85, no. 2, pp. 269-294 -
Public
Asymptotic behaviour of monotone multi-valued dynamical systems: Dynamical Systems 2005
Caraballo, T. and Langa, J.A. and Valero, J., (2005). "Asymptotic behaviour of monotone multi-valued dynamical systems", Dynamical Systems, vol. 20, no. 3, pp. 301-321 -
Public
Bifurcation from zero of a complete trajectory for nonautonomous logistic PDES: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2005
Langa, J.A. and Robinson, J.C. and Suárez, A., (2005). "Bifurcation from zero of a complete trajectory for nonautonomous logistic PDES", International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 15, no. 8, pp. 2663-2669 -
Public
Erratum: Global attractors for multivalued random dynamical systems (Nonlinear Analysis, Theory, Methods and Applications (2002) 48 (805-829) DOI:10.1016/S0362-546X(00)00216-9): Nonlinear Analysis, Theory, Methods and Applications 2005
Caraballo, T. and Langa, J.A. and Valero, J., (2005). "Erratum: Global attractors for multivalued random dynamical systems (Nonlinear Analysis, Theory, Methods and Applications (2002) 48 (805-829) DOI:10.1016/S0362-546X(00)00216-9)", Nonlinear Analysis, Theory, Methods and Applications, vol. 61, no. 1-2, pp. 277-279 -
Public
Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations: Nonlinearity 2005
Caraballo, T. and Chueshov, I. and Langa, J.A., (2005). "Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations", Nonlinearity, vol. 18, no. 2, pp. 747-767 -
Public
Asymptotically finite dimensional pullback behaviour of non-autonomous PDEs: Archiv der Mathematik 2003
Langa, J.A., (2003). "Asymptotically finite dimensional pullback behaviour of non-autonomous PDEs", Archiv der Mathematik, vol. 80, no. 5, pp. 525-535 -
Public
Existence and Regularity of the Pressure for the Stochastic Navier-Stokes Equations: Applied Mathematics and Optimization 2003
Langa, J.A. and Real, J. and Simon, J., (2003). "Existence and Regularity of the Pressure for the Stochastic Navier-Stokes Equations", Applied Mathematics and Optimization, vol. 48, no. 3, pp. 195-210 -
Public
Finite-dimensional limiting dynamics of random dynamical systems: Dynamical Systems 2003
Langa, J.A., (2003). "Finite-dimensional limiting dynamics of random dynamical systems", Dynamical Systems, vol. 18, no. 1, pp. 57-68 -
Public
Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system: Nonlinearity 2003
Langa, J.A. and Robinson, J.C. and Suárez, A., (2003). "Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system", Nonlinearity, vol. 16, no. 4, pp. 1277-1293 -
Public
On the relationship between solutions of stochastic and random differential inclusions: Stochastic Analysis and Applications 2003
Caraballo, T. and Langa, J.A. and Valero, J., (2003). "On the relationship between solutions of stochastic and random differential inclusions", Stochastic Analysis and Applications, vol. 21, no. 3, pp. 545-557 -
Public
On the upper semicontinuity of cocycle attractors for non-autonomous and random dynamical systems: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 2003
Caraballo, T. and Langa, J.A., (2003). "On the upper semicontinuity of cocycle attractors for non-autonomous and random dynamical systems", Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 10, no. 4, pp. 491-513 -
Public
Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems: Set-Valued Analysis 2003
Caraballo, T. and Langa, J.A. and Melnik, V.S. and Valero, J., (2003). "Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems", Set-Valued Analysis, vol. 11, no. 2, pp. 153-201 -
Public
Pullback permanence in a non-autonomous competitive Lotka-Volterra model: Journal of Differential Equations 2003
Langa, J.A. and Robinson, J.C. and Suárez, A., (2003). "Pullback permanence in a non-autonomous competitive Lotka-Volterra model", Journal of Differential Equations, vol. 190, no. 1, pp. 214-238 -
Public
Semimartingale attractors for generalized Allen-Cahn SPDEs driven by space-time white noise | Attracteurs semimartingales pour des EDPS d'Allen-Cahn généralisées dirigées par le bruit blanc spatio-temporel: Comptes Rendus Mathematique 2003
Allouba, H. and Langa, J.A., (2003). "Semimartingale attractors for generalized Allen-Cahn SPDEs driven by space-time white noise | Attracteurs semimartingales pour des EDPS d'Allen-Cahn généralisées dirigées par le bruit blanc spatio-temporel", Comptes Rendus Mathematique, vol. 337, no. 3, pp. 201-206 -
Public
Fullback permanence for non-autonomous partial differential equations: Electronic Journal of Differential Equations 2002
Langa, J.A. and Suárez, A., (2002). "Fullback permanence for non-autonomous partial differential equations", Electronic Journal of Differential Equations, vol. 2002 -
Public
Global attractors for multivalued random dynamical systems: Nonlinear Analysis, Theory, Methods and Applications 2002
Caraballo, T. and Langa, J.A. and Valero, J., (2002). "Global attractors for multivalued random dynamical systems", Nonlinear Analysis, Theory, Methods and Applications, vol. 48, no. 6, pp. 805-829 -
Public
Stability, instability, and bifurcation phenomena in non-autonomous differential equations: Nonlinearity 2002
Langa, J.A. and Robinson, J.C. and Suárez, A., (2002). "Stability, instability, and bifurcation phenomena in non-autonomous differential equations", Nonlinearity, vol. 15, no. 3, pp. 887-903 -
Public
The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations: Journal of Differential Equations 2002
Caraballo, T. and Langa, J.A. and Taniguchi, T., (2002). "The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations", Journal of Differential Equations, vol. 179, no. 2, pp. 714-737 -
Public
A finite number of point observations which determine a non-autonomous fluid flow: Nonlinearity 2001
Langa, J.A. and Robinson, J.C., (2001). "A finite number of point observations which determine a non-autonomous fluid flow", Nonlinearity, vol. 14, no. 4, pp. 673-682 -
Public
A stochastic pitchfork bifurcation in a reaction - Diffusion equation: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2001
Caraballo, T. and Langa, J.A. and Robinson, J.C., (2001). "A stochastic pitchfork bifurcation in a reaction - Diffusion equation", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 457, no. 2013, pp. 2041-2061 -
Public
Attractors for differential equations with variable delays: Journal of Mathematical Analysis and Applications 2001
Caraballo, T. and Langa, J.A. and Robinson, J.C., (2001). "Attractors for differential equations with variable delays", Journal of Mathematical Analysis and Applications, vol. 260, no. 2, pp. 421-438 -
Public
Comparison of the long-time behavior of linearito and stratonovich partial differential equations: Stochastic Analysis and Applications 2001
Caraballo, T. and Langa, J.A., (2001). "Comparison of the long-time behavior of linearito and stratonovich partial differential equations", Stochastic Analysis and Applications, vol. 19, no. 2, pp. 183-195 -
Public
Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise: Journal of Mathematical Analysis and Applications 2001
Caraballo, T. and Langa, J.A. and Valero, J., (2001). "Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise", Journal of Mathematical Analysis and Applications, vol. 260, no. 2, pp. 602-622 -
Public
Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise | Attracteurs globaux pour des semi-flots aléatoires multivalués engendrés par des inclusions différentielles stochastiques avec un bruit additif: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics 2001
Caraballo, T. and Langa, J.A. and Valero, J., (2001). "Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise | Attracteurs globaux pour des semi-flots aléatoires multivalués engendrés par des inclusions différentielles stochastiques avec un bruit additif", Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, vol. 332, no. 2, pp. 131-136 -
Public
Stability and random attractors for a reaction-diffusion equation with multiplicative noise: Discrete and Continuous Dynamical Systems 2000
Caraballo, T. and Langa, J.A. and Robinson, J.C., (2000). "Stability and random attractors for a reaction-diffusion equation with multiplicative noise", Discrete and Continuous Dynamical Systems, vol. 6, no. 4, pp. 875-892 -
Public
Determining asymptotic behavior from the dynamics on attracting sets: Journal of Dynamics and Differential Equations 1999
Langa, J.A. and Robinson, J.C., (1999). "Determining asymptotic behavior from the dynamics on attracting sets", Journal of Dynamics and Differential Equations, vol. 11, no. 2, pp. 319-331 -
Public
Tracking properties of trajectories on random attracting sets: Stochastic Analysis and Applications 1999
Caraballo, T. and Langa, J.A., (1999). "Tracking properties of trajectories on random attracting sets", Stochastic Analysis and Applications, vol. 17, no. 3, pp. 339-358 -
Public
Upper semicontinuity of attractors for small random perturbations of dynamical systems: Communications in Partial Differential Equations 1998
Caraballo, T. and Langa, J.A. and Robinson, J.C., (1998). "Upper semicontinuity of attractors for small random perturbations of dynamical systems", Communications in Partial Differential Equations, vol. 23, no. 9-10, pp. 1557-1581
Grants
No grants added yet
Patents
No patents added yet