Local existence and blow-up criterion of the ideal density-dependent flows

DOI10.1186/s13661-016-0610-yzbMath1338.35363OpenAlexW2408740211WikidataQ59467590 ScholiaQ59467590MaRDI QIDQ296256

Fangyi He, Jishan Fan, Yong Zhou

Publication date: 15 June 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-016-0610-y

zbMATH Keywords

local existenceblow-up criterionEulerideal MHD

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (4)

A regularity criterion for 3D ideal density-dependent MHD system ⋮ A blow-up criterion of the ideal density-dependent flows ⋮ Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries ⋮ The combined inviscid and non-resistive limit for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions

Cites Work

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• Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition
• A regularity criterion for the density-dependent Hall-magnetohydrodynamics
• Uniform local well-posedness for the density-dependent magnetohydrodynamic equations
• The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces
• On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework
• Local well-posedness for the ideal incompressible density dependent magnetohydrodynamic equations
• On the Euler equations for nonhomogeneous fluids. II
• On the blow-up of solutions of the 3-D Euler equations in a bounded domain
• On the equations of ideal incompressible magneto-hydrodynamics
• Local existence and blow-up criterion of the inhomogeneous Euler equations
• Blow-up criteria for 3D nematic liquid crystal models in a bounded domain
• A regularity criterion for the density-dependent magnetohydrodynamic equations
• About the motion of nonhomogeneous ideal incompressible fluids
• Existence of cω solution of the euler equation for non-homogeneous fluids
• 带密度的不可压Euler 方程在临界Besov 空间中的适定性

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