Singularity formation of the non-barotropic compressible magnetohydrodynamic equations without heat conductivity

DOI10.11650/tjm/190701zbMath1458.76130OpenAlexW2962339501MaRDI QIDQ2200906

Xin Zhong

Publication date: 23 September 2020

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1589875221

zbMATH Keywords

global existencestrong solutionenergy estimateblow-up criterionzero heat conduction

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (1)

Stability near equilibrium to the full compressible magnetohydrodynamic equations

Cites Work

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• On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity
• Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
• Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
• Strong solution to the compressible magnetohydrodynamic equations with vacuum
• A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity
• Singularity formation to the two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction in a bounded domain
• Strong solutions to the Cauchy problem of two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction
• A blow-up criterion for three-dimensional compressible magnetohydrodynamic equations with variable viscosity
• Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum
• Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
• Blowup of smooth solution for non-isentropic magnetohydrodynamic equations without heat conductivity
• Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
• A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM
• L^∞continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Oblique Derivative Problems for Elliptic Equations
• On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum
• On formation of singularity of the full compressible magnetohydrodynamic equations with zero heat conduction
• Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum

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