Forward dynamics of 3D double time-delayed MHD-Voight equations

References

• Larios A, Titi ES. On the higher-order global regularity of the inviscid voigt-regularization of three-dimensional hydrodynamic models. Discrete Contin Dyn Syst Ser B. 2010;14:603–627.
   Web of Science ®Google Scholar
• Larios A, Titi ES. Higher-order global regularity of an inviscid voigt regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations. J Math Fluid Mech. 2014;16:59–76.
   Web of Science ®Google Scholar
• Zhao C, Li B. Analyticity of the global attractor for the 3D regularized MHD equations. Electron J Differ Equ. 2016;2016:1–20.
   Google Scholar
• Zhu Z, Zhao C. Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Discrete Contin Dyn Syst. 2018;38:1461–1477.
   Web of Science ®Google Scholar
• Caraballo T, Real J. Attractors for 2D-Navier-Stokes models with delays. J Differ Equ. 2004;205:271–297.
   Web of Science ®Google Scholar
• Caraballo T, Marín-Rubio P, Valero J. Autonomous and non-autonomous attractors for differential equations with delays. J Differ Equ. 2005;208:9–41.
   Web of Science ®Google Scholar
• Gala S, Ragusa MA. A note on regularity criteria in terms of pressure for the 3D viscous MHD equations. Math Notes. 2017;102:475–479.
   Web of Science ®Google Scholar
• García-Luengo J, Marín-Rubio P, Real J. Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour. J Differ Equ. 2012;252:4333–4356.
   Web of Science ®Google Scholar
• García-Luengo J, Marín-Rubio P, Real J. Pullback attractors for 2D navier-Stokes equations with delays and their regularity. Adv Nonlinear Stud. 2013;13:331–357.
   Web of Science ®Google Scholar
• Kloeden PE. Upper semi continuity of attractors of retarded delay differential equations in the delay. Bull Aust Math Soc. 2006;73:299–306.
   Web of Science ®Google Scholar
• Marín-Rubio P, Real J. Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains. Nonlinear Anal. 2007;67:2784–2799.
   Web of Science ®Google Scholar
• Razani A. Existence of Chapman-Jouguet detonation for a viscous combustion model. J Math Anal Appl. 2004;293:551–563.
   Web of Science ®Google Scholar
• Aghajani A, Razani A. Detonation waves in a transverse magnetic field. Michigan Math J. 2005;53:647–664.
   Web of Science ®Google Scholar
• Razani A. Shock waves in gas dynamics. Surv Math Appl. 2007;2:59–89.
   Google Scholar
• Razani A. Chapman-Jouguet travelling wave for a two-steps reaction scheme. Ital J Pure Appl Math. 2018;39:544–553.
   Google Scholar
• Razani A. Subsonic detonation waves in porous media. Phys Scripta. 2019;94:Article ID 085209.
   Web of Science ®Google Scholar
• Zhang Q, Li Y. Backward controller of a pullback attractor for delay Benjamin-Bona-Mahony equations. J Dyn Control Syst. 2020;26:423–441.
   Web of Science ®Google Scholar
• Li Y, She L, Yin J. Longtime robustness and semi-uniform compactness of a pullback attractor via nonautonomous PDE. Discrete Contin Dyn Syst Ser B. 2018;23:1535–1557.
   Web of Science ®Google Scholar
• Kloeden PE, Simsen J. Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents. J Math Anal Appl. 2015;425:911–918.
   Web of Science ®Google Scholar
• Kloeden PE, Simsen J, Simsen MS. Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents. J Math Anal Appl. 2017;445:513–531.
   Web of Science ®Google Scholar
• Li Y, She L, Wang R. Asymptotically autonomous dynamics for parabolic equation. J Math Anal Appl. 2018;459:1106–1123.
   Web of Science ®Google Scholar
• Cui H. Convergences of asymptotically autonomous pullback attractors towards semigroup attractors. Discrete Contin Dyn Syst Ser B. 2019;24:3525–3535.
   Web of Science ®Google Scholar
• Caraballo T, Łukaszewicz G, Real J. Pullback attractors for asymptotically compact non-autonomous dynamical systems. Nonlinear Anal. 2006;64:484–498.
   Web of Science ®Google Scholar
• Carvalho AN, Langa JA, Robinson JC. Attractors for infinite-dimensional non-autonomous dynamical systems. New York: Springer; 2013. (Applied mathematical sciences; vol. 182).
   Google Scholar
• Kloeden PE, Rasmussen M. Nonautonomous dynamical systems. Providence: American Mathematical Soc.; 2011.
   Google Scholar