Blow-up criterion for the 3D non-resistive compressible magnetohydrodynamic equations

DOI10.1007/s10884-019-09756-zzbMath1439.35409arXiv1407.7831OpenAlexW2964079349WikidataQ127918660 ScholiaQ127918660MaRDI QIDQ2181124

Shuai Xi, Shengguo Zhu

Publication date: 18 May 2020

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7831

zbMATH Keywords

vacuumMHDstrong solutionscompatibility conditionblow-up criterion

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09) Initial value problems for mixed-type systems of PDEs (35M31) Compressible Navier-Stokes equations (76N06)

Related Items (2)

A note on singular integrals with angular integrability ⋮ Weighted estimates for rough maximal functions with applications to angular integrability

Cites Work

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• A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
• Blowup criterion for viscous baratropic flows with vacuum states
• A blow-up criterion for 3D non-resistive compressible magnetohydrodynamic equations with initial vacuum
• Existence results for viscous polytropic fluids with vacuum
• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
• Strong solution to the compressible magnetohydrodynamic equations with vacuum
• Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Remarks on a paper by J. T. Beale, T. Kato, and A. Majda (Remarks on the breakdown of smooth solutions for the 3-dimensional Euler equations)
• On \(BMO\) regularity for linear elliptic systems
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• A blow-up criterion of strong solutions to the 3D compressible MHD equations with vacuum
• Blow-up criterion for compressible MHD equations
• Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
• Blowup of smooth solutions to the full compressible MHD system with compact density
• On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
• Global regularity for the Cauchy problem of three-dimensional compressible magnetohydrodynamics equations
• Blow-up criterion for the compressible magnetohydrodynamic equations with vacuum
• Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Blow up of smooth solutions to the barotropic compressible magnetohydrodynamic equations with finite mass and energy
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Blow‐up criterion for 3D viscous‐resistive compressible magnetohydrodynamic equations

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