Logarithmically improved regularity criterion for the harmonic heat flow and related equations

DOI10.1016/j.amc.2010.12.114zbMath1211.35062OpenAlexW2008899595MaRDI QIDQ632854

Xiao-chun Chen

Publication date: 28 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.114

zbMATH Keywords

interpolation inequalityLandau-Lifshitz systemLandau-Lifshitz-Maxwell system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65)

Related Items (1)

A regularity criterion for the harmonic heat flow

Cites Work

• Unnamed Item
• Unnamed Item
• Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
• Regularity criteria for the generalized Navier-Stokes and related equations.
• A regularity criterion for the nematic liquid crystal flows
• Existence, regularity and local uniqueness of the solutions to the Maxwell-Landau-Lifshitz system in three dimensions
• Logarithmically improved regularity criteria for the Navier-Stokes equations in multiplier spaces
• Finite-time blow-up of the heat flow of harmonic maps from surfaces
• Global weak solution for the Landau-Lifshitz-Maxwell equation in three space dimensions
• Regular solutions for Landau-Lifschitz equation in a bounded domain.
• Logarithmically improved regularity criteria for the 3D viscous MHD equations
• Oscillating Patterns in Some Nonlinear Evolution Equations
• Logarithmically improved regularity criteria for Navier-Stokes and related equations
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• Sharp Sobolev Inequality of Logarithmic Type and the Limiting Regularity Condition to the Harmonic Heat Flow
• On Landau-Lifshitz’ equations for ferromagnetism
• Interpolation inequalities in Besov spaces

This page was built for publication: Logarithmically improved regularity criterion for the harmonic heat flow and related equations