Time decay rates for the generalized MHD-α equations in Sobolev–Gevrey spaces

DOI10.1080/00036811.2021.1939313zbMath1498.35396OpenAlexW3168844236MaRDI QIDQ5039368

Thyago Souza Rosa Santos, Wilberclay G. Melo

Publication date: 12 October 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1939313

zbMATH Keywords

decay ratesSobolev-Gevrey spacesglobal asymptotic solutiongeneralized MHD-\(\alpha\) equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces ⋮ Decay rates for mild solutions of the quasi-geostrophic equation with critical fractional dissipation in Sobolev-Gevrey spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Global well-posedness and analyticity results to 3-D generalized magnetohydrodynamic equations
• On the blow-up criterion of 3D-NSE in Sobolev-Gevrey spaces
• Global Cauchy problem for a 2D Leray-\(\alpha \)-MHD model with zero viscosity
• Global existence for a regularized magnetohydrodynamic-\(\alpha \) model
• On the global regularity of generalized Leray-alpha type models
• Global regularity of the two-dimensional regularized MHD equations
• Poincaré's inequality and diffusive evolution equations
• Generalized MHD equations.
• Local existence, uniqueness and lower bounds of solutions for the magnetohydrodynamics equations in Sobolev-Gevrey spaces
• Large time behaviour of solutions to the 3D-NSE in \(\mathcal{X}^\sigma\) spaces
• Note on global regularity of 3D generalized magnetohydrodynamic-\(\alpha\) model with zero diffusivity
• Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces
• Large time decay for the magnetohydrodynamics equations in Sobolev-Gevrey spaces
• Large time decay for the magnetohydrodynamics system in \(\dot{H}^s (\mathbb{R}^n)\)
• Temporal decay estimate of solutions to 3D generalized magnetohydrodynamic system
• The nagneto-hydrodynamic equations: local theory and blow-up of solutions
• Global regularity for the incompressible MHD-\({\alpha}\) system with fractional diffusion
• Global regularity of 3D generalized incompressible magnetohydrodynamic-\(\alpha\) model
• Regularity results on the Leray-alpha magnetohydrodynamics systems
• Remarks on the global regularity of the two-dimensional magnetohydrodynamics system with zero dissipation
• Characterization of Solutions to Dissipative Systems with Sharp Algebraic Decay
• Some mathematical questions related to the mhd equations
• Global existence of three dimensional incompressible MHD flows
• Analytical study of certain magnetohydrodynamic-α models
• Decay characterization of solutions to generalized Hall-MHD system in R3
• A refined regularity criterion for the strong solution to the Leray‐alpha‐MHD equation
• Decay characterization of solutions to dissipative equations
• Existence and analyticity of Lei-Lin solution to the Navier-Stokes equations
• Time decay rate for two 3D magnetohydrodynamics- α models
• Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics

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