Hu, Wenjie; Caraballo, Tomás Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations. (English) Zbl 07797095 J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024). MSC: 37L25 37L55 37B55 60H15 35R60 PDFBibTeX XMLCite \textit{W. Hu} and \textit{T. Caraballo}, J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024; Zbl 07797095) Full Text: DOI
Yang, Shuang; Caraballo, Tomás; Li, Yangrong Dynamics and stability analysis for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay on unbounded domains. (English) Zbl 07783073 Appl. Math. Optim. 89, No. 1, Paper No. 11, 43 p. (2024). MSC: 35Q30 76D05 35B41 35B40 35B35 35D30 35A01 35A02 35R07 35R10 35R60 PDFBibTeX XMLCite \textit{S. Yang} et al., Appl. Math. Optim. 89, No. 1, Paper No. 11, 43 p. (2024; Zbl 07783073) Full Text: DOI
Yang, Hujun; Han, Xiaoling; Zhao, Caidi; Caraballo, Tomás Existence and degenerate regularity of statistical solution for the 2D non-autonomous tropical climate model. (English) Zbl 07783341 J. Math. Phys. 64, No. 12, Article ID 122702, 13 p. (2023). MSC: 35Q86 86A08 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Math. Phys. 64, No. 12, Article ID 122702, 13 p. (2023; Zbl 07783341) Full Text: DOI
Yang, Shuang; Li, Yangrong; Zhang, Qiangheng; Caraballo, Tomás Stability analysis of stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay. (English) Zbl 07781532 J. Dyn. Differ. Equations 35, No. 4, 3011-3054 (2023). MSC: 35Q30 35B40 35B35 35A01 35A02 35R07 35R60 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Dyn. Differ. Equations 35, No. 4, 3011--3054 (2023; Zbl 07781532) Full Text: DOI
Wang, Fengling; Caraballo, Tomás; Li, Yangrong Dynamics of multi-valued retarded \(p\)-Laplace equations driven by nonlinear colored noise. (English) Zbl 07775744 J. Math. Phys. 64, No. 10, Article ID 102701, 29 p. (2023). MSC: 35L55 35L30 35B41 35J92 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Math. Phys. 64, No. 10, Article ID 102701, 29 p. (2023; Zbl 07775744) Full Text: DOI
Zou, Tianfang; Zhao, Caidi; Caraballo, Tomás Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space. (English) Zbl 07759101 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107516, 22 p. (2023). MSC: 37L60 37L55 37A35 PDFBibTeX XMLCite \textit{T. Zou} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107516, 22 p. (2023; Zbl 07759101) Full Text: DOI
Xu, Jiaohui; Caraballo, Tomás Existence of weak solutions to nonlocal PDEs with a generalized definition of Caputo derivative. (English) Zbl 1522.35567 Mediterr. J. Math. 20, No. 5, Paper No. 254, 17 p. (2023). MSC: 35R11 35A01 35D30 PDFBibTeX XMLCite \textit{J. Xu} and \textit{T. Caraballo}, Mediterr. J. Math. 20, No. 5, Paper No. 254, 17 p. (2023; Zbl 1522.35567) Full Text: DOI
Tuan, Nguyen Huy; Caraballo, Tomás; Thach, Tran Ngoc Continuity with respect to the Hurst parameter of solutions to stochastic evolution equations driven by \(H\)-valued fractional Brownian motion. (English) Zbl 1515.60240 Appl. Math. Lett. 144, Article ID 108715, 9 p. (2023). MSC: 60H15 60G22 60G15 60B12 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Appl. Math. Lett. 144, Article ID 108715, 9 p. (2023; Zbl 1515.60240) Full Text: DOI
Tuan, Nguyen Huy; Caraballo, Tomás; Thach, Tran Ngoc New results for stochastic fractional pseudo-parabolic equations with delays driven by fractional Brownian motion. (English) Zbl 07697538 Stochastic Processes Appl. 161, 24-67 (2023). MSC: 60H15 35K70 60G22 60H10 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Stochastic Processes Appl. 161, 24--67 (2023; Zbl 07697538) Full Text: DOI
Belluzi, Maykel Boldrin; Caraballo Garrido, Tomás; Nascimento, Marcelo José Dias; Schiabel, Karina Strong solution for singularly nonautonomous evolution equation with almost sectorial operators. (English) Zbl 1514.35106 Discrete Contin. Dyn. Syst. 43, No. 1, 177-208 (2023). MSC: 35D35 35A01 35K90 47B12 PDFBibTeX XMLCite \textit{M. B. Belluzi} et al., Discrete Contin. Dyn. Syst. 43, No. 1, 177--208 (2023; Zbl 1514.35106) Full Text: DOI
Caraballo, Tomás; Uzal, José M. Dynamics of nonautomous impulsive multivalued processes. (English) Zbl 1510.35063 Set-Valued Var. Anal. 31, No. 1, Paper No. 7, 20 p. (2023). MSC: 35B41 34A37 34D45 35R12 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{J. M. Uzal}, Set-Valued Var. Anal. 31, No. 1, Paper No. 7, 20 p. (2023; Zbl 1510.35063) Full Text: DOI
Yang, Shuang; Caraballo, Tomás; Li, Yangrong Invariant measures for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay. (English) Zbl 1509.35192 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107004, 21 p. (2023). MSC: 35Q30 35B41 76D05 76F20 35A01 35A02 35B45 35B40 35R07 35R60 PDFBibTeX XMLCite \textit{S. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107004, 21 p. (2023; Zbl 1509.35192) Full Text: DOI
Caraballo, Tomás; Cavaterra, Cecilia A 3D isothermal model for nematic liquid crystals with delay terms. (English) Zbl 1504.35217 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2117-2133 (2022). MSC: 35Q30 35D30 76A15 35R07 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{C. Cavaterra}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2117--2133 (2022; Zbl 1504.35217) Full Text: DOI
Xu, Jiaohui; Caraballo, Tomás; Valero, José Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion. (English) Zbl 1489.35018 J. Differ. Equations 327, 418-447 (2022). MSC: 35B40 35B41 35K20 35K58 35R10 37L30 45K05 PDFBibTeX XMLCite \textit{J. Xu} et al., J. Differ. Equations 327, 418--447 (2022; Zbl 1489.35018) Full Text: DOI
Xu, Jiaohui; Zhang, Zhengce; Caraballo, Tomás Mild solutions to time fractional stochastic 2D-Stokes equations with bounded and unbounded delay. (English) Zbl 1485.35409 J. Dyn. Differ. Equations 34, No. 1, 583-603 (2022). MSC: 35R11 35Q30 35R60 65F08 60H15 65F10 PDFBibTeX XMLCite \textit{J. Xu} et al., J. Dyn. Differ. Equations 34, No. 1, 583--603 (2022; Zbl 1485.35409) Full Text: DOI
Belluzi, Maykel; Caraballo, Tomás; Nascimento, Marcelo J. D.; Schiabel, Karina Strong solutions for semilinear problems with almost sectorial operators. (English) Zbl 1485.35278 J. Evol. Equ. 22, No. 1, Paper No. 10, 33 p. (2022). MSC: 35K90 35A01 35D30 35D35 35K58 PDFBibTeX XMLCite \textit{M. Belluzi} et al., J. Evol. Equ. 22, No. 1, Paper No. 10, 33 p. (2022; Zbl 1485.35278) Full Text: DOI
Belluzi, Maykel; Caraballo, Tomás; Nascimento, Marcelo J. D.; Schiabel, Karina Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators. (English) Zbl 1483.35132 J. Differ. Equations 314, 808-849 (2022). MSC: 35K90 35A01 35B40 35B41 35B65 35K58 PDFBibTeX XMLCite \textit{M. Belluzi} et al., J. Differ. Equations 314, 808--849 (2022; Zbl 1483.35132) Full Text: DOI
Liang, Tongtong; Wang, Yejuan; Caraballo, Tomás Stability of fractionally dissipative 2D quasi-geostrophic equation with infinite delay. (English) Zbl 1478.35028 J. Dyn. Differ. Equations 33, No. 4, 2047-2074 (2021). MSC: 35B35 35Q86 35R11 PDFBibTeX XMLCite \textit{T. Liang} et al., J. Dyn. Differ. Equations 33, No. 4, 2047--2074 (2021; Zbl 1478.35028) Full Text: DOI
Caraballo, Tomás; Ngoc, Tran Bao; Tuan, Nguyen Huy; Wang, Renhai On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel. (English) Zbl 1466.35355 Proc. Am. Math. Soc. 149, No. 8, 3317-3334 (2021). MSC: 35R11 35R09 26A33 35B65 35B05 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Proc. Am. Math. Soc. 149, No. 8, 3317--3334 (2021; Zbl 1466.35355) Full Text: DOI
Caraballo, T.; Márquez-Durán, A. M. Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations. (English) Zbl 1484.35316 AIMS Math. 5, No. 6, 5470-5494 (2020). MSC: 35Q35 35B40 35B41 76D05 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{A. M. Márquez-Durán}, AIMS Math. 5, No. 6, 5470--5494 (2020; Zbl 1484.35316) Full Text: DOI
Caraballo, Tomás; Langa, José A.; Valero, José Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term. (English) Zbl 1436.35048 Rev. Mat. Complut. 33, No. 2, 583-617 (2020). MSC: 35B41 35B51 35K57 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Rev. Mat. Complut. 33, No. 2, 583--617 (2020; Zbl 1436.35048) Full Text: DOI
Liu, Linfang; Caraballo, Tomás Analysis of a stochastic \(2D\)-Navier-Stokes model with infinite delay. (English) Zbl 1427.35182 J. Dyn. Differ. Equations 31, No. 4, 2249-2274 (2019). MSC: 35Q30 35R60 35B40 35A01 35A02 35D30 35B35 76D03 76D05 PDFBibTeX XMLCite \textit{L. Liu} and \textit{T. Caraballo}, J. Dyn. Differ. Equations 31, No. 4, 2249--2274 (2019; Zbl 1427.35182) Full Text: DOI
Liu, Linfang; Caraballo, Tomás; Fu, Xianlong Exponential stability of an incompressible non-Newtonian fluid with delay. (English) Zbl 1418.76010 Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4285-4303 (2018). MSC: 76A05 35B35 35Q35 37L15 PDFBibTeX XMLCite \textit{L. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4285--4303 (2018; Zbl 1418.76010) Full Text: DOI
Liu, Linfang; Caraballo, Tomás; Marín-Rubio, Pedro Stability results for 2D Navier-Stokes equations with unbounded delay. (English) Zbl 1403.35206 J. Differ. Equations 265, No. 11, 5685-5708 (2018). MSC: 35Q30 35A01 35B35 35B40 76D05 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Differ. Equations 265, No. 11, 5685--5708 (2018; Zbl 1403.35206) Full Text: DOI
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro Robustness of time-dependent attractors in \(H^1\)-norm for nonlocal problems. (English) Zbl 1415.35056 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1011-1036 (2018). Reviewer: Bixiang Wang (Socorro) MSC: 35B41 35B65 35K57 35Q92 37L30 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1011--1036 (2018; Zbl 1415.35056) Full Text: DOI
Liu, Linfang; Caraballo, Tomás Well-posedness and dynamics of a fractional stochastic integro-differential equation. (English) Zbl 1378.37091 Physica D 355, 45-57 (2017). MSC: 37H10 35R09 35R11 35R60 37G35 PDFBibTeX XMLCite \textit{L. Liu} and \textit{T. Caraballo}, Physica D 355, 45--57 (2017; Zbl 1378.37091) Full Text: DOI Link
Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness. (English) Zbl 1354.35060 Nonlinear Dyn. 84, No. 1, 35-50 (2016). MSC: 35K57 37L30 37B55 26E25 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Dyn. 84, No. 1, 35--50 (2016; Zbl 1354.35060) Full Text: DOI
Caraballo, Tomás; Morillas, Francisco; Valero, José Attractors for non-autonomous retarded lattice dynamical systems. (English) Zbl 1329.34119 Nonauton. Dyn. Syst. 2, 31-51 (2015). MSC: 34K31 34K05 37C60 34K09 34K25 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonauton. Dyn. Syst. 2, 31--51 (2015; Zbl 1329.34119) Full Text: DOI
Anguiano, María; Caraballo, Tomás; Real, José; Valero, José Pullback attractors for a nonautonomous integro-differential equation with memory in some unbounded domains. (English) Zbl 1270.34178 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350042, 24 p. (2013). MSC: 34K30 35R10 34K25 35B41 PDFBibTeX XMLCite \textit{M. Anguiano} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350042, 24 p. (2013; Zbl 1270.34178) Full Text: DOI
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor. (English) Zbl 1213.35121 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2272-2283 (2011). MSC: 35B41 35L71 35L20 35B30 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2272--2283 (2011; Zbl 1213.35121) Full Text: DOI Link
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J. Global attractor for a non-autonomous integro-differential equation in materials with memory. (English) Zbl 1194.35071 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 183-201 (2010). MSC: 35B41 35K58 35K57 35R10 35R09 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 183--201 (2010; Zbl 1194.35071) Full Text: DOI Link