Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain

DOI10.1186/s13661-016-0598-3zbMath1338.35331arXiv1509.03704OpenAlexW2258428539WikidataQ59467483 ScholiaQ59467483MaRDI QIDQ296229

Jishan Fan, Jun-ping Yin, Wen-jun Sun

Publication date: 15 June 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03704

zbMATH Keywords

Landau-Lifshitz equationsBoussinesq systemblow-up criterionMHD system

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous-inviscid interaction (76D09)

Related Items (9)

Local well-posedness for the incompressible full magneto-micropolar system with vacuum ⋮ Regularity criteria for the incompressible magnetohydrodynamic flows with density-dependent viscosity coefficient ⋮ Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl ⋮ A logarithmically improved regularity criterion for the Boussinesq equations in a bounded domain ⋮ Regularity criteria for a density-dependent incompressible Ginzburg–Landau–Navier–Stokes system in a bounded domain ⋮ Regularity criteria for a Ginzburg-Landau-Navier-Stokes system in a bounded domain ⋮ Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum ⋮ A blowup criterion to the strong solution to the multi-dimensional Landau-Lifshitz-Gilbert equation ⋮ The local existence of strong solution for the stochastic 3D Boussinesq equations

Cites Work

• Unnamed Item
• Unnamed Item
• Regularity criteria of the magnetohydrodynamic equations in bounded domains or a half space
• Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• Theory of function spaces
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Regular solutions for Landau-Lifschitz equation in a bounded domain.
• On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain.
• Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory
• Some mathematical questions related to the mhd equations
• Logarithmically improved regularity criteria for Navier-Stokes and related equations
• Sharp Sobolev Inequality of Logarithmic Type and the Limiting Regularity Condition to the Harmonic Heat Flow
• A Blow-Up Criterion for the Nonhomogeneous Incompressible Navier--Stokes Equations

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