Long time behavior of solutions to 3D generalized MHD equations
type: Item
instance of: scholarly article
title: Long time behavior of solutions to 3D generalized MHD equations
zbMATH Open document ID: 1442.35042
author: Xiaopeng Zhao
published in: Forum Mathematicum
publication date: 2020-06-30T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35B41
zbMATH DE Number: 7216244
zbMATH Keywords: global attractor
zbMATH Keywords: decay rate
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: periodic boundary conditions
MaRDI profile type: Publication
full work available at URL: forum-2019-0155
OpenAlex ID: W3027229743
cites work: Analysis and Approximation of a Fractional Cahn--Hilliard Equation
cites work: A Losing Estimate for the Ideal MHD Equations with Application to Blow‐up Criterion
cites work: Global attractor and determining modes for a hyperbolic MHD turbulence Model
cites work: A maximum principle applied to quasi-geostrophic equations
cites work: A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation
cites work: Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion
cites work: Inéquations en thermoélasticité et magnétohydrodynamique
cites work: Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations
cites work: Q5630031
cites work: On the regularity of weak solutions to the magnetohydrodynamic equations
cites work: The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case
cites work: On regularity criteria for the 2D generalized MHD system
cites work: Decay of solutions to the three-dimensional generalized Navier–Stokes equations
cites work: The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
cites work: Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
cites work: Commutator estimates and the euler and navier-stokes equations
cites work: A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation
cites work: Well-posedness for the Navier-Stokes equations
cites work: Two-dimensional Navier-Stokes flow in unbounded domains
cites work: BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
cites work: Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
cites work: Q5890172
cites work: Well-posedness of the Cauchy problem for the fractional power dissipative equations
cites work: Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations
cites work: Some mathematical questions related to the mhd equations
cites work: Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
cites work: Q5607484
cites work: Decay and asymptotics for \(\square u = F(u)\)
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: Regularity criteria for the 3D generalized MHD equations in terms of vorticity
cites work: Dissipative quasi-geostrophic equations with \(L^p\) data
cites work: Generalized MHD equations.
cites work: The generalized incompressible Navier-Stokes equations in Besov spaces
cites work: Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
cites work: Regularity Criteria for the Generalized MHD Equations
cites work: On the global well-posedness of \(N\)-dimensional generalized MHD system in anisotropic spaces
cites work: Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations
cites work: Regularity criteria for the generalized viscous MHD equations
DOI: 10.1515/FORUM-2019-0155
description: scientific article; zbMATH DE number 7216244