Edit Profile (opens in new tab) Valero, José Co-Author Distance Author ID: valero.jose Published as: Valero, José; Valero, J. Homepage: http://cio.edu.umh.es/en/investigadores/jose-valero/ External Links: MGP Documents Indexed: 128 Publications since 1995, including 1 Book and 3 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 48 Co-Authors with 121 Joint Publications 885 Co-Co-Authors all top 5 Co-Authors 11 single-authored 38 Caraballo Garrido, Tomás 28 Kapustyan, Oleksiy V. 18 Langa, Jose’ Antonio 16 Morillas, Francisco G. 14 Kasyanov, Pavlo O. 12 Melnik, Valery S. 11 Marín-Rubio, Pedro 9 Garrido-Atienza, María José 9 Giménez, Angel 8 Amigó, José María 8 Schmalfuß, Björn 7 Kloeden, Peter Eris 6 Balibrea, Francisco 6 Zgurovsky, Mikhail Z. 4 Anguiano, María 4 Caballero, Rubén 4 Nolasco de Carvalho, Alexandre 4 Real Anguas, José 4 Xu, Jiaohui 3 Moreira, Estefani M. 3 Pankov, Andrey V. 3 Simsen, Jacson 2 Arrieta, José M. 2 Carballo, T. 2 da Costa, Henrique B. 2 Martínez-Bonastre, Oscar 1 Bortolan, Matheus Cheque 1 Carretero, Luis 1 Catto, Isabelle 1 Cui, Hongyong 1 de Cássia D. S. Broche, Rita 1 Díaz Díaz, Jesús Ildefonso 1 Duran, Guillem 1 Galarza, M. 1 Han, Xiaoying 1 Iovane, Gerardo 1 Jara, Juan C. 1 Li, Yangrong 1 Ma, Zhong-Xin 1 Pardo, Daniel 1 Pereguda, Oleg V. 1 Rodríguez-Bernal, Aníbal 1 Sainz-Pardo, José Luis 1 Schuhmann, M. U. 1 Simsen, Mariza Stefanello 1 Thomale, U. 1 Zadoianchuk, Nina V. 1 Zhao, Jiacheng all top 5 Serials 12 Discrete and Continuous Dynamical Systems. Series B 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Discrete and Continuous Dynamical Systems 7 Journal of Mathematical Analysis and Applications 6 Journal of Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Set-Valued Analysis 5 Communications on Pure and Applied Analysis 5 Set-Valued and Variational Analysis 4 Stochastics and Dynamics 3 Journal of Dynamics and Differential Equations 3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Nonlinearity 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Topology and its Applications 2 Journal of Difference Equations and Applications 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 International Journal of Mathematics, Game Theory and Algebra 2 Nonlinear Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Applied Mathematics and Optimization 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Physica D 1 Asymptotic Analysis 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Doklady Mathematics 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Revista Matemática Complutense 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Mathematicae Silesianae 1 The ANZIAM Journal 1 Applied General Topology 1 Dynamical Systems 1 Journal of Function Spaces and Applications 1 Advances in Mechanics and Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Nonautonomous Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applied Mathematics and Nonlinear Sciences 1 Pure and Applied Functional Analysis all top 5 Fields 91 Partial differential equations (35-XX) 84 Dynamical systems and ergodic theory (37-XX) 30 Ordinary differential equations (34-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Probability theory and stochastic processes (60-XX) 10 Operator theory (47-XX) 9 Fluid mechanics (76-XX) 5 General and overarching topics; collections (00-XX) 5 Biology and other natural sciences (92-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 4 Systems theory; control (93-XX) 3 Integral equations (45-XX) 2 Real functions (26-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,804 times in 767 Documents Cited by ▼ Year ▼ On attractors of multivalued semi-flows and differential inclusions. Zbl 0915.58063 Mel’nik, Valery S.; Valero, José 171 1998 Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025 Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. 116 2008 Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Zbl 1018.37048 Caraballo, T.; Langa, J. A.; Melnik, V. S.; Valero, J. 107 2003 Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063 Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José 88 2010 Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1248.37045 Caraballo, Tomás; Morillas, F.; Valero, J. 85 2012 Autonomous and non-autonomous attractors for differential equations with delays. Zbl 1074.34070 Caraballo, T.; Marín-Rubio, P.; Valero, J. 69 2005 Recent developments in dynamical systems: three perspectives. Zbl 1202.37003 Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. 59 2010 Evolution inclusions and variation inequalities for earth data processing. III. Long-time behavior of evolution inclusions solutions in earth data analysis. Zbl 1317.86003 Zgurovsky, Mikhail Z.; Kasyanov, Pavlo O.; Kapustyan, Oleksiy V.; Valero, José; Zadoianchuk, Nina V. 50 2012 On the connectedness and asymptotic behaviour of solutions of reaction-diffusion systems. Zbl 1169.35345 Valero, José; Kapustyan, Alexey 47 2006 Pullback attractors for a two-dimensional Navier-Stokes model in an infinite delay case. Zbl 1218.35045 Marín-Rubio, Pedro; Real, José; Valero, José 45 2011 Attractors for reaction-diffusion equations in \(\mathbb R^N\) with continuous nonlinearity. Zbl 1083.35022 Morillas, Francisco; Valero, José 43 2005 On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. Zbl 1323.34087 Caraballo, Tomás; Morillas, Francisco; Valero, José 42 2014 Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208 Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José 40 2016 Attractors for differential equations with unbounded delays. Zbl 1135.34040 Caraballo, T.; Marín-Rubio, P.; Valero, J. 36 2007 Weak and strong attractors for the 3D Navier-Stokes system. Zbl 1131.35056 Kapustyan, A. V.; Valero, J. 36 2007 Attractors of parabolic equations without uniqueness. Zbl 0996.35037 Valero, José 35 2001 Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010 Caraballo, T.; Morillas, F.; Valero, J. 33 2011 Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity. Zbl 1185.37161 Arrieta, José M.; Rodríguez-Bernal, Aníbal; Valero, José 32 2006 Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term. Zbl 1304.35118 Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José 31 2014 Attractors of multivalued dynamical processes generated by phase-field equations. Zbl 1063.37070 Kapustyan, Alexei V.; Melnik, Valery S.; Valero, José 30 2003 On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions. Zbl 1063.35040 Melnik, Valery S.; Valero, José 29 2000 Global attractors for multivalued random dynamical systems. Zbl 1004.37035 Caraballo, T.; Langa, J. A.; Valero, J. 26 2002 On global attractors of multivalued semiflows generated by the 3D Bénard system. Zbl 1259.35042 Kapustyan, Alexey V.; Pankov, Andrey V.; Valero, José 24 2012 Attractors of multivalued semiflows generated by differential inclusions and their approximations. Zbl 1014.35010 Kapustian, Alexei V.; Valero, José 23 2000 On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion. Zbl 1178.35077 Kapustyan, A. V.; Valero, J. 23 2009 Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system. Zbl 1206.35048 Kapustyan, O. V.; Kasyanov, P. O.; Valero, J. 23 2011 Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise. Zbl 0987.60074 Caraballo, T.; Langa, J. A.; Valero, J. 22 2001 The weak connectedness of the attainability set of weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1143.35082 Kloeden, P. E.; Valero, J. 20 2007 Peano’s theorem and attractors for lattice dynamical systems. Zbl 1170.37337 Morillas, Francisco; Valero, José 19 2009 The dimension of attractors of nonautonomous partial differential equations. Zbl 1047.35024 Caraballo, T.; Langa, J. A.; Valero, J. 18 2003 Comparison between trajectory and global attractors for evolution systems without uniqueness of solutions. Zbl 1202.37023 Kapustyan, O. V.; Valero, J. 18 2010 A weak attractor and properties of solutions for the three-dimensional Benard problem. Zbl 1143.35013 Kapustyan, O. V.; Melnik, V. S.; Valero, J. 17 2007 Pullback attractors for reaction-diffusion equations in some unbounded domains with an \(H^{-1}\)-valued non-autonomous forcing term and without uniqueness of solutions. Zbl 1197.35200 Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 17 2010 Structure of uniform global attractor for general non-autonomous reaction-diffusion system. Zbl 1323.35084 Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z. 16 2014 Regular solutions and global attractors for reaction-diffusion systems without uniqueness. Zbl 1304.35119 Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José 16 2014 Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects. Zbl 1228.35063 Iovane, G.; Kapustyan, A. V.; Valero, J. 14 2008 Global attractor for a non-autonomous integro-differential equation in materials with memory. Zbl 1194.35071 Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J. 14 2010 On the Kneser property for some parabolic problems. Zbl 1094.35029 Valero, José 12 2005 Attractors of weakly asymptotically compact set-valued dynamical systems. Zbl 1088.37002 Kloeden, P. E.; Valero, J. 12 2005 Asymptotic behaviour of a logistic lattice system. Zbl 1334.34032 Caraballo, Tomás; Morillas, Francisco; Valero, José 12 2014 The Kneser property of the weak solutions of the three dimensional Navier-Stokes equations. Zbl 1194.35061 Kloeden, Peter E.; Valero, José 11 2010 Addendum to: “On attractors of multivalued semi-flows and differential inclusions”. (Addendum to: “On attractors of multivalued semiflows and differential inclusions”.) Zbl 1172.35331 Melnik, V. S.; Valero, J. 11 2008 Attractors for a random evolution equation with infinite memory: theoretical results. Zbl 1359.60080 Valero, José; Schmalfuß, Björn; Garrido-Atienza, María J.; Caraballo, Tomás 11 2017 Attractors for a lattice dynamical system generated by non-Newtonian fluids modeling suspensions. Zbl 1202.34022 Amigó, José M.; Giménez, Ángel; Morillas, Francisco; Valero, José 11 2010 Attractors for multi-valued non-autonomous dynamical systems: relationship, characterization and robustness. Zbl 1401.37085 Cui, Hongyong; Langa, José A.; Li, Yangrong; Valero, José 9 2018 Finite and infinite-dimensional attractors of multivalued reaction-diffusion equations. Zbl 0997.37058 Valero, J. 8 2000 Morse decompositions and Lyapunov functions for dynamically gradient multivalued semiflows. Zbl 1354.37075 da Costa, Henrique B.; Valero, José 8 2016 Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion. Zbl 1489.35018 Xu, Jiaohui; Caraballo, Tomás; Valero, José 8 2022 Asymptotic behaviour of monotone multi-valued dynamical systems. Zbl 1086.37042 Caraballo, T.; Langa, J. A.; Valero, J. 7 2005 Attractors for a non-linear parabolic equation modelling suspension flows. Zbl 1172.35326 Amigó, José M.; Catto, Isabelle; Giménez, Ángel; Valero, José 7 2009 Characterization of pullback attractors for multivalued nonautonomous dynamical systems. Zbl 1362.37037 Simsen, Jacson; Valero, José 7 2016 Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Zbl 1346.35015 Caraballo, T.; Langa, J. A.; Valero, J. 7 2016 Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. Zbl 1436.35048 Caraballo, Tomás; Langa, José A.; Valero, José 7 2020 On the Kneser property for reaction-diffusion systems on unbounded domains. Zbl 1176.35037 Morillas, Francisco; Valero, José 6 2009 Attractors for non-autonomous retarded lattice dynamical systems. Zbl 1329.34119 Caraballo, Tomás; Morillas, Francisco; Valero, José 6 2015 Global attractors for weak solutions of the three-dimensional Navier-Stokes equations with damping. Zbl 1423.35038 Pardo, Daniel; Valero, José; Giménez, Ángel 6 2019 Attractors of differential inclusions and their approximation. Zbl 0970.35175 Kapustyan, O. V.; Valero, J. 5 2000 On the relationship between solutions of stochastic and random differential inclusions. Zbl 1042.60037 Caraballo, T.; Langa, J. A.; Valero, J. 5 2003 Existence and characterization of attractors for a nonlocal reaction-diffusion equation with an energy functional. Zbl 1485.35069 Caballero, R.; Marín-Rubio, P.; Valero, José 5 2022 On dimension of attractors of differential inclusions and reaction-diffusion equations. Zbl 0963.37075 Balibrea, Francisco; Valero, José 4 1999 Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise. Zbl 0978.37043 Caraballo, Tomás; Langa, José A.; Valero, José 4 2001 On the asymptotic behaviour of solutions of a stochastic energy balance climate model. Zbl 1173.37051 Díaz, J. I.; Langa, J. A.; Valero, J. 4 2009 Morse decompositions with infinite components for multivalued semiflows. Zbl 1376.37040 da Costa, Henrique B.; Valero, José 4 2017 Characterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity. Zbl 1462.35084 Valero, José 4 2021 Robustness of dynamically gradient multivalued dynamical systems. Zbl 1408.37133 Caballero, Rubén; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Valero, José 4 2019 Noncoercive evolution inclusions for \(S_{k}\) type operators. Zbl 1202.34112 Zgurovsky, M. Z.; Kasyanov, P. O.; Valero, J. 4 2010 Asymptotic behavior of nonlocal partial differential equations with long time memory. Zbl 1498.35088 Xu, Jiaohui; Caraballo, Tomás; Valero, José 4 2022 On the method of approximation for evolutionary inclusions of pseudomonotone type. Zbl 1163.35413 Kasyanov, Pavlo; Melnik, Valery; Valero, José 3 2008 On the connectedness of the attainability set for lattice dynamical systems. Zbl 1243.34012 Morillas, Francisco; Valero, José 3 2012 On the Kneser property for reaction-diffusion equations in some unbounded domains with an \(H^{ - 1}\)-valued non-autonomous forcing term. Zbl 1237.35016 Anguiano, M.; Morillas, F.; Valero, J. 3 2012 Morse decomposition of global attractors with infinite components. Zbl 1366.37030 Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Valero, José 3 2015 A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. Zbl 1425.35115 de Cássia D. S. Broche, Rita; Carvalho, Alexandre N.; Valero, José 3 2019 Setvalued dynamical systems for stochastic evolution equations driven by fractional noise. Zbl 1493.37065 Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. 3 2022 Approximation of attractors for multivalued random dynamical systems. Zbl 1026.37046 Caraballo, T.; Langa, J. A.; Valero, J. 2 2001 Asymptotic compactness and attractors for phase-field equations in \(\mathbb R^{3}\). Zbl 1173.35370 Morillas, Francisco; Valero, José 2 2008 On a nonlocal discrete diffusion system modeling life tables. Zbl 1318.34018 Morillas, Francisco; Valero, José 2 2014 Stability and numerical analysis of the Hébraud-Lequeux model for suspensions. Zbl 1213.76136 Giménez, Ángel; Morillas, Francisco; Valero, José; Amigó, José María 2 2011 Attractors of set-valued partial differential equations under discretization. Zbl 1177.65148 Kloeden, P. E.; Valero, J. 2 2009 On \(L^r\)-regularity of global attractors generated by strong solutions of reaction-diffusion equations. Zbl 1379.37134 Valero, José 2 2016 Convergence of numerical approximations for a non-Newtonian model of suspensions. Zbl 1334.65131 Kapustyan, O. V.; Valero, J.; Kasyanov, P. O.; Giménez, A.; Amigó, J. M. 2 2015 Pullback attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1320.34088 Caraballo, Tomás; Morillas, Francisco; Valero, José 2 2013 Convergence of equilibria for numerical approximations of a suspension model. Zbl 1404.76015 Valero, J.; Giménez, A.; Kapustyan, O. V.; Kasyanov, P. O.; Amigó, J. M. 2 2016 Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise. Zbl 1501.37010 Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J. 2 2022 Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. Zbl 1270.34178 Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 2 2013 The envelope attractor of non-strict multivalued dynamical systems with application to the 3D Navier-Stokes and reaction-diffusion equations. Zbl 1277.35066 Kloeden, P. E.; Marín-Rubio, P.; Valero, J. 2 2013 A weak comparison principle for reaction-diffusion systems. Zbl 1254.35038 Valero, José 2 2012 Chain recurrence and structure of \(\omega\)-limit sets of multivalued semiflows. Zbl 1446.37017 Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José 2 2020 Random attractor for the reaction-diffusion equation perturbed by a stochastic càdlàg process. Zbl 1114.37028 Kapustyan, O. V.; Valero, J.; Pereguda, O. V. 1 2005 On locally compact attractors of dynamical systems. Zbl 0935.37050 Valero, José 1 1999 On attractors of evolutionary inclusions in Banach spaces. Zbl 0940.47059 Valero, J. 1 1995 Stabilisation of differential inclusions and PDEs without uniqueness by noise. Zbl 1172.37029 Caraballo, Tomás; Langa, José A.; Valero, José 1 2008 Estimates of dimension of attractors of reaction-diffusion equations in the non-differentiable case. Zbl 0904.35104 Balibrea, Francisco; Valero, José 1 1997 Global attractors for \(p\)-Laplacian differential inclusions in unbounded domains. Zbl 1355.35028 Valero, José; Simsen, Jacson 1 2016 Pullback attractors for nonautonomous dynamical systems. Zbl 1332.37056 Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 1 2013 Structure of the attractor for a non-local Chafee-Infante problem. Zbl 1479.35132 Moreira, Estefani M.; Valero, José 1 2022 Generalized TCP-RED dynamical model for Internet congestion control. Zbl 1451.93010 Amigó, José M.; Duran, Guillem; Giménez, Angel; Martínez-Bonastre, Oscar; Valero, José 1 2020 Attractors of multivalued semi-flows generated by solutions of optimal control problems. Zbl 1473.35060 Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z. 1 2019 On the existence and connectedness of a global attractor for solutions of the three-dimensional Bénard system that satisfy a system of energy inequalities. Zbl 1291.35222 Kapustyan, O. V.; Pan’kov, A. V.; Valero, J. 1 2013 Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion. Zbl 1489.35018 Xu, Jiaohui; Caraballo, Tomás; Valero, José 8 2022 Existence and characterization of attractors for a nonlocal reaction-diffusion equation with an energy functional. Zbl 1485.35069 Caballero, R.; Marín-Rubio, P.; Valero, José 5 2022 Asymptotic behavior of nonlocal partial differential equations with long time memory. Zbl 1498.35088 Xu, Jiaohui; Caraballo, Tomás; Valero, José 4 2022 Setvalued dynamical systems for stochastic evolution equations driven by fractional noise. Zbl 1493.37065 Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. 3 2022 Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise. Zbl 1501.37010 Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J. 2 2022 Structure of the attractor for a non-local Chafee-Infante problem. Zbl 1479.35132 Moreira, Estefani M.; Valero, José 1 2022 Characterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity. Zbl 1462.35084 Valero, José 4 2021 Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. Zbl 1436.35048 Caraballo, Tomás; Langa, José A.; Valero, José 7 2020 Chain recurrence and structure of \(\omega\)-limit sets of multivalued semiflows. Zbl 1446.37017 Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José 2 2020 Generalized TCP-RED dynamical model for Internet congestion control. Zbl 1451.93010 Amigó, José M.; Duran, Guillem; Giménez, Angel; Martínez-Bonastre, Oscar; Valero, José 1 2020 Global attractors for weak solutions of the three-dimensional Navier-Stokes equations with damping. Zbl 1423.35038 Pardo, Daniel; Valero, José; Giménez, Ángel 6 2019 Robustness of dynamically gradient multivalued dynamical systems. Zbl 1408.37133 Caballero, Rubén; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Valero, José 4 2019 A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. Zbl 1425.35115 de Cássia D. S. Broche, Rita; Carvalho, Alexandre N.; Valero, José 3 2019 Attractors of multivalued semi-flows generated by solutions of optimal control problems. Zbl 1473.35060 Kapustyan, Olexiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z. 1 2019 Attractors for multi-valued non-autonomous dynamical systems: relationship, characterization and robustness. Zbl 1401.37085 Cui, Hongyong; Langa, José A.; Li, Yangrong; Valero, José 9 2018 Attractors for a random evolution equation with infinite memory: theoretical results. Zbl 1359.60080 Valero, José; Schmalfuß, Björn; Garrido-Atienza, María J.; Caraballo, Tomás 11 2017 Morse decompositions with infinite components for multivalued semiflows. Zbl 1376.37040 da Costa, Henrique B.; Valero, José 4 2017 Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise. Zbl 1329.60208 Caraballo, Tomás; Han, Xiaoying; Schmalfuss, Björn; Valero, José 40 2016 Morse decompositions and Lyapunov functions for dynamically gradient multivalued semiflows. Zbl 1354.37075 da Costa, Henrique B.; Valero, José 8 2016 Characterization of pullback attractors for multivalued nonautonomous dynamical systems. Zbl 1362.37037 Simsen, Jacson; Valero, José 7 2016 Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Zbl 1346.35015 Caraballo, T.; Langa, J. A.; Valero, J. 7 2016 On \(L^r\)-regularity of global attractors generated by strong solutions of reaction-diffusion equations. Zbl 1379.37134 Valero, José 2 2016 Convergence of equilibria for numerical approximations of a suspension model. Zbl 1404.76015 Valero, J.; Giménez, A.; Kapustyan, O. V.; Kasyanov, P. O.; Amigó, J. M. 2 2016 Global attractors for \(p\)-Laplacian differential inclusions in unbounded domains. Zbl 1355.35028 Valero, José; Simsen, Jacson 1 2016 Attractors for non-autonomous retarded lattice dynamical systems. Zbl 1329.34119 Caraballo, Tomás; Morillas, Francisco; Valero, José 6 2015 Morse decomposition of global attractors with infinite components. Zbl 1366.37030 Caraballo, Tomás; Jara, Juan C.; Langa, José A.; Valero, José 3 2015 Convergence of numerical approximations for a non-Newtonian model of suspensions. Zbl 1334.65131 Kapustyan, O. V.; Valero, J.; Kasyanov, P. O.; Giménez, A.; Amigó, J. M. 2 2015 On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems. Zbl 1323.34087 Caraballo, Tomás; Morillas, Francisco; Valero, José 42 2014 Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term. Zbl 1304.35118 Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José 31 2014 Structure of uniform global attractor for general non-autonomous reaction-diffusion system. Zbl 1323.35084 Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José; Zgurovsky, Mikhail Z. 16 2014 Regular solutions and global attractors for reaction-diffusion systems without uniqueness. Zbl 1304.35119 Kapustyan, Oleksiy V.; Kasyanov, Pavlo O.; Valero, José 16 2014 Asymptotic behaviour of a logistic lattice system. Zbl 1334.34032 Caraballo, Tomás; Morillas, Francisco; Valero, José 12 2014 On a nonlocal discrete diffusion system modeling life tables. Zbl 1318.34018 Morillas, Francisco; Valero, José 2 2014 Pullback attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1320.34088 Caraballo, Tomás; Morillas, Francisco; Valero, José 2 2013 Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. Zbl 1270.34178 Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 2 2013 The envelope attractor of non-strict multivalued dynamical systems with application to the 3D Navier-Stokes and reaction-diffusion equations. Zbl 1277.35066 Kloeden, P. E.; Marín-Rubio, P.; Valero, J. 2 2013 Pullback attractors for nonautonomous dynamical systems. Zbl 1332.37056 Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 1 2013 On the existence and connectedness of a global attractor for solutions of the three-dimensional Bénard system that satisfy a system of energy inequalities. Zbl 1291.35222 Kapustyan, O. V.; Pan’kov, A. V.; Valero, J. 1 2013 Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities. Zbl 1248.37045 Caraballo, Tomás; Morillas, F.; Valero, J. 85 2012 Evolution inclusions and variation inequalities for earth data processing. III. Long-time behavior of evolution inclusions solutions in earth data analysis. Zbl 1317.86003 Zgurovsky, Mikhail Z.; Kasyanov, Pavlo O.; Kapustyan, Oleksiy V.; Valero, José; Zadoianchuk, Nina V. 50 2012 On global attractors of multivalued semiflows generated by the 3D Bénard system. Zbl 1259.35042 Kapustyan, Alexey V.; Pankov, Andrey V.; Valero, José 24 2012 On the connectedness of the attainability set for lattice dynamical systems. Zbl 1243.34012 Morillas, Francisco; Valero, José 3 2012 On the Kneser property for reaction-diffusion equations in some unbounded domains with an \(H^{ - 1}\)-valued non-autonomous forcing term. Zbl 1237.35016 Anguiano, M.; Morillas, F.; Valero, J. 3 2012 A weak comparison principle for reaction-diffusion systems. Zbl 1254.35038 Valero, José 2 2012 Pullback attractors for a two-dimensional Navier-Stokes model in an infinite delay case. Zbl 1218.35045 Marín-Rubio, Pedro; Real, José; Valero, José 45 2011 Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010 Caraballo, T.; Morillas, F.; Valero, J. 33 2011 Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system. Zbl 1206.35048 Kapustyan, O. V.; Kasyanov, P. O.; Valero, J. 23 2011 Stability and numerical analysis of the Hébraud-Lequeux model for suspensions. Zbl 1213.76136 Giménez, Ángel; Morillas, Francisco; Valero, José; Amigó, José María 2 2011 Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063 Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José 88 2010 Recent developments in dynamical systems: three perspectives. Zbl 1202.37003 Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. 59 2010 Comparison between trajectory and global attractors for evolution systems without uniqueness of solutions. Zbl 1202.37023 Kapustyan, O. V.; Valero, J. 18 2010 Pullback attractors for reaction-diffusion equations in some unbounded domains with an \(H^{-1}\)-valued non-autonomous forcing term and without uniqueness of solutions. Zbl 1197.35200 Anguiano, María; Caraballo, Tomás; Real, José; Valero, José 17 2010 Global attractor for a non-autonomous integro-differential equation in materials with memory. Zbl 1194.35071 Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J. 14 2010 The Kneser property of the weak solutions of the three dimensional Navier-Stokes equations. Zbl 1194.35061 Kloeden, Peter E.; Valero, José 11 2010 Attractors for a lattice dynamical system generated by non-Newtonian fluids modeling suspensions. Zbl 1202.34022 Amigó, José M.; Giménez, Ángel; Morillas, Francisco; Valero, José 11 2010 Noncoercive evolution inclusions for \(S_{k}\) type operators. Zbl 1202.34112 Zgurovsky, M. Z.; Kasyanov, P. O.; Valero, J. 4 2010 On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion. Zbl 1178.35077 Kapustyan, A. V.; Valero, J. 23 2009 Peano’s theorem and attractors for lattice dynamical systems. Zbl 1170.37337 Morillas, Francisco; Valero, José 19 2009 Attractors for a non-linear parabolic equation modelling suspension flows. Zbl 1172.35326 Amigó, José M.; Catto, Isabelle; Giménez, Ángel; Valero, José 7 2009 On the Kneser property for reaction-diffusion systems on unbounded domains. Zbl 1176.35037 Morillas, Francisco; Valero, José 6 2009 On the asymptotic behaviour of solutions of a stochastic energy balance climate model. Zbl 1173.37051 Díaz, J. I.; Langa, J. A.; Valero, J. 4 2009 Attractors of set-valued partial differential equations under discretization. Zbl 1177.65148 Kloeden, P. E.; Valero, J. 2 2009 Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025 Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J. 116 2008 Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects. Zbl 1228.35063 Iovane, G.; Kapustyan, A. V.; Valero, J. 14 2008 Addendum to: “On attractors of multivalued semi-flows and differential inclusions”. (Addendum to: “On attractors of multivalued semiflows and differential inclusions”.) Zbl 1172.35331 Melnik, V. S.; Valero, J. 11 2008 On the method of approximation for evolutionary inclusions of pseudomonotone type. Zbl 1163.35413 Kasyanov, Pavlo; Melnik, Valery; Valero, José 3 2008 Asymptotic compactness and attractors for phase-field equations in \(\mathbb R^{3}\). Zbl 1173.35370 Morillas, Francisco; Valero, José 2 2008 Stabilisation of differential inclusions and PDEs without uniqueness by noise. Zbl 1172.37029 Caraballo, Tomás; Langa, José A.; Valero, José 1 2008 Attractors for differential equations with unbounded delays. Zbl 1135.34040 Caraballo, T.; Marín-Rubio, P.; Valero, J. 36 2007 Weak and strong attractors for the 3D Navier-Stokes system. Zbl 1131.35056 Kapustyan, A. V.; Valero, J. 36 2007 The weak connectedness of the attainability set of weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1143.35082 Kloeden, P. E.; Valero, J. 20 2007 A weak attractor and properties of solutions for the three-dimensional Benard problem. Zbl 1143.35013 Kapustyan, O. V.; Melnik, V. S.; Valero, J. 17 2007 On the connectedness and asymptotic behaviour of solutions of reaction-diffusion systems. Zbl 1169.35345 Valero, José; Kapustyan, Alexey 47 2006 Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity. Zbl 1185.37161 Arrieta, José M.; Rodríguez-Bernal, Aníbal; Valero, José 32 2006 Autonomous and non-autonomous attractors for differential equations with delays. Zbl 1074.34070 Caraballo, T.; Marín-Rubio, P.; Valero, J. 69 2005 Attractors for reaction-diffusion equations in \(\mathbb R^N\) with continuous nonlinearity. Zbl 1083.35022 Morillas, Francisco; Valero, José 43 2005 On the Kneser property for some parabolic problems. Zbl 1094.35029 Valero, José 12 2005 Attractors of weakly asymptotically compact set-valued dynamical systems. Zbl 1088.37002 Kloeden, P. E.; Valero, J. 12 2005 Asymptotic behaviour of monotone multi-valued dynamical systems. Zbl 1086.37042 Caraballo, T.; Langa, J. A.; Valero, J. 7 2005 Random attractor for the reaction-diffusion equation perturbed by a stochastic càdlàg process. Zbl 1114.37028 Kapustyan, O. V.; Valero, J.; Pereguda, O. V. 1 2005 Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Zbl 1018.37048 Caraballo, T.; Langa, J. A.; Melnik, V. S.; Valero, J. 107 2003 Attractors of multivalued dynamical processes generated by phase-field equations. Zbl 1063.37070 Kapustyan, Alexei V.; Melnik, Valery S.; Valero, José 30 2003 The dimension of attractors of nonautonomous partial differential equations. Zbl 1047.35024 Caraballo, T.; Langa, J. A.; Valero, J. 18 2003 On the relationship between solutions of stochastic and random differential inclusions. Zbl 1042.60037 Caraballo, T.; Langa, J. A.; Valero, J. 5 2003 Global attractors for multivalued random dynamical systems. Zbl 1004.37035 Caraballo, T.; Langa, J. A.; Valero, J. 26 2002 Attractors of parabolic equations without uniqueness. Zbl 0996.35037 Valero, José 35 2001 Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise. Zbl 0987.60074 Caraballo, T.; Langa, J. A.; Valero, J. 22 2001 Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise. Zbl 0978.37043 Caraballo, Tomás; Langa, José A.; Valero, José 4 2001 Approximation of attractors for multivalued random dynamical systems. Zbl 1026.37046 Caraballo, T.; Langa, J. A.; Valero, J. 2 2001 On global attractors of multivalued semiprocesses and nonautonomous evolution inclusions. Zbl 1063.35040 Melnik, Valery S.; Valero, José 29 2000 Attractors of multivalued semiflows generated by differential inclusions and their approximations. Zbl 1014.35010 Kapustian, Alexei V.; Valero, José 23 2000 Finite and infinite-dimensional attractors of multivalued reaction-diffusion equations. Zbl 0997.37058 Valero, J. 8 2000 Attractors of differential inclusions and their approximation. Zbl 0970.35175 Kapustyan, O. V.; Valero, J. 5 2000 On dimension of attractors of differential inclusions and reaction-diffusion equations. Zbl 0963.37075 Balibrea, Francisco; Valero, José 4 1999 On locally compact attractors of dynamical systems. Zbl 0935.37050 Valero, José 1 1999 On attractors of multivalued semi-flows and differential inclusions. Zbl 0915.58063 Mel’nik, Valery S.; Valero, José 171 1998 Estimates of dimension of attractors of reaction-diffusion equations in the non-differentiable case. Zbl 0904.35104 Balibrea, Francisco; Valero, José 1 1997 On attractors of evolutionary inclusions in Banach spaces. Zbl 0940.47059 Valero, J. 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 613 Authors 82 Caraballo Garrido, Tomás 77 Valero, José 56 Wang, Bixiang 43 Kapustyan, Oleksiy V. 38 Kasyanov, Pavlo O. 36 Kloeden, Peter Eris 33 Wang, Renhai 32 Wang, Yejuan 31 Li, Yangrong 29 Marín-Rubio, Pedro 21 Simsen, Jacson 19 Zhou, Shengfan 17 Garrido-Atienza, María José 17 Langa, Jose’ Antonio 17 Li, Dingshi 17 Zhao, Caidi 15 Schmalfuß, Björn 14 Gorban, Nataliia V. 14 Lu, Kening 14 Morillas, Francisco G. 14 Real Anguas, José 13 Kalita, Piotr 13 Shu, Ji 13 Zgurovsky, Mikhail Z. 12 Gu, Anhui 12 Han, Xiaoying 12 Łukaszewicz, Grzegorz 12 Wang, Xiaohu 12 Zhang, Qiangheng 11 Chen, Zhang 11 Li, Desheng 11 Yang, Xinguang 10 Abdallah, Ahmed Y. 9 Simsen, Mariza Stefanello 9 Xu, Jiaohui 9 Yang, Shuang 8 Cung The Anh 8 Paliichuk, Liliia S. 8 Shi, Lin 8 Xie, Yongqin 7 Cui, Hongyong 7 Dashkovskiy, Sergey N. 7 She, Lianbing 7 Wang, Jintao 7 Wang, Zhaojuan 7 Zhong, Chengkui 7 Zhu, Kaixuan 6 Anguiano, María 6 Chen, Pengyu 6 Coti Zelati, Michele 6 García-Luengo, Julia 6 Li, Fang 6 Li, Fuzhi 6 Liu, Linfang 6 Wang, Jingyu 6 You, Bo 6 Zhang, Xuping 5 Amigó, José María 5 Balibrea, Francisco 5 Deugoue, Gabriel 5 Gentile, Cláudia Buttarello 5 Giménez, Angel 5 Gluzman, Mark O. 5 Guo, Boling 5 Herrera-Cobos, Marta 5 Nguyen Huy Tuan 5 Nolasco de Carvalho, Alexandre 5 Pankov, Andrey V. 5 Planas, Gabriela 5 Samprogna, Rodrigo A. 5 Wang, Fengling 5 Yan, Xingjie 5 Yang, Dandan 5 Zadoianchuk, Nina V. 5 Zhang, Jian 4 Belozyorov, Vasiliy Ye. 4 Chen, Yiju 4 Czaja, Radosław 4 Díaz Díaz, Jesús Ildefonso 4 Freitas, Mirelson M. 4 Guzik, Grzegorz 4 Ke, Tran Dinh 4 Li, Chunqiu 4 Ma, Dandan 4 Marquez-Duran, Antonio M. 4 Qin, Yuming 4 Romaniuk, Iryna V. 4 Siemianowski, Jakub 4 Tachim Medjo, Theodore 4 Thanh, Dang Thi Phuong 4 Wang, Xiaoli 4 Yang, Lin 4 Yang, Meihua 4 Zelik, Sergey V. 4 Zhang, Fanghong 4 Zhou, Feng 3 Bai, Lihong 3 Bates, Peter W. 3 Caballero, Rubén 3 Chepyzhov, Vladimir V. ...and 513 more Authors all top 5 Cited in 152 Serials 78 Discrete and Continuous Dynamical Systems. Series B 50 Journal of Differential Equations 43 Journal of Mathematical Analysis and Applications 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Mathematical Physics 24 Discrete and Continuous Dynamical Systems 22 Journal of Dynamics and Differential Equations 22 Communications on Pure and Applied Analysis 21 Stochastics and Dynamics 20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Discrete and Continuous Dynamical Systems. Series S 15 Journal of Difference Equations and Applications 13 Set-Valued and Variational Analysis 12 Applied Mathematics and Computation 12 Abstract and Applied Analysis 10 Stochastic Analysis and Applications 8 Applied Mathematics Letters 8 Set-Valued Analysis 8 Communications in Nonlinear Science and Numerical Simulation 8 Electronic Research Archive 7 Physica D 7 Journal of Mathematical Sciences (New York) 7 SIAM Journal on Applied Dynamical Systems 6 Nonlinearity 6 Applied Mathematics and Optimization 6 Qualitative Theory of Dynamical Systems 6 Nonlinear Analysis. Real World Applications 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Asymptotic Analysis 5 Cybernetics and Systems Analysis 5 Topological Methods in Nonlinear Analysis 5 Nonlinear Dynamics 5 Dynamical Systems 5 Boundary Value Problems 5 Banach Journal of Mathematical Analysis 5 Journal of Applied Analysis and Computation 4 Computers & Mathematics with Applications 4 Ukrainian Mathematical Journal 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Applied Mathematics and Nonlinear Sciences 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Topology and its Applications 3 Bulletin des Sciences Mathématiques 3 Mathematical Problems in Engineering 3 Taiwanese Journal of Mathematics 3 Journal of Mathematical Fluid Mechanics 3 Advances in Difference Equations 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Nonautonomous Dynamical Systems 3 AIMS Mathematics 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Acta Mathematica Vietnamica 2 Journal of Functional Analysis 2 Quaestiones Mathematicae 2 The Journal of Geometric Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Differential Equations and Dynamical Systems 2 Vietnam Journal of Mathematics 2 Fractional Calculus & Applied Analysis 2 Revista Matemática Complutense 2 Communications of the Korean Mathematical Society 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Differential Equations 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Mediterranean Journal of Mathematics 2 Nonlinear Analysis. Hybrid Systems 2 Mathematical Control and Related Fields 2 Evolution Equations and Control Theory 2 Journal of Elliptic and Parabolic Equations 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Advances in Mathematics 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Kybernetika 1 Mathematische Annalen 1 Mathematische Zeitschrift ...and 52 more Serials all top 5 Cited in 31 Fields 538 Partial differential equations (35-XX) 412 Dynamical systems and ergodic theory (37-XX) 163 Probability theory and stochastic processes (60-XX) 140 Ordinary differential equations (34-XX) 100 Fluid mechanics (76-XX) 48 Operator theory (47-XX) 28 Biology and other natural sciences (92-XX) 22 Difference and functional equations (39-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Real functions (26-XX) 16 Systems theory; control (93-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 9 Integral equations (45-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Geophysics (86-XX) 8 General topology (54-XX) 5 Measure and integration (28-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year