Systems of partial differential equations of mixed hyperbolic-parabolic type

DOI10.1016/j.jde.2004.03.010zbMath1055.35007OpenAlexW2088912541MaRDI QIDQ1881134

David Hoff, Eugene N. Tsyganov

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.010

zbMATH Keywords

compressible Navier-Stokes equationsglobal existence and uniquenesscompressible magnetohydrodynamicsone space variable

Mathematics Subject Classification ID

Related Items (4)

Global existence of 2D nonhomogeneous incompressible magnetohydrodynamics with vacuum ⋮ Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum ⋮ Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations ⋮ Sobolev estimates for non-uniformly parabolic PDEs

Cites Work

• Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data
• On the existence of global solutions of nonlinear wave equations
• Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
• Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data
• Global solutions of nonlinear magnetohydrodynamics with large initial data
• Global solutions of the compressible navier-stokes equations with larger discontinuous initial data

This page was built for publication: Systems of partial differential equations of mixed hyperbolic-parabolic type