DISSIPATIVE ENTROPY AND GLOBAL SMOOTH SOLUTIONS IN RADIATION HYDRODYNAMICS AND MAGNETOHYDRODYNAMICS

DOI10.1142/S0218202508003327zbMath1157.76057OpenAlexW2141887919MaRDI QIDQ3604165

Christian Rohde, Wen-An Yong

Publication date: 24 February 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202508003327

zbMATH Keywords

existenceCauchy problemshock wavesdiscrete-ordinate approximations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (4)

Global Existence and blowup phenomenon for a 1D radiation hydrodynamics model problem ⋮ Local existence and singularities formation for isothermal relativistic radiation hydrodynamics equations ⋮ Nonrelativistic limit of the Euler‐HMP_N approximation models arising in radiation hydrodynamics ⋮ Smooth solutions for one-dimensional relativistic radiation hydrodynamic equations

Cites Work

• On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation.
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• Entropy and global existence for hyperbolic balance laws
• Shock profiles for non-equilibrium radiating gases
• Existence of traveling-wave solutions for hyperbolic systems of balance laws
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