On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation

Christian Rohde; Wojciech M. Zajączkowski

Applications of Mathematics (2003)

  • Volume: 48, Issue: 4, page 257-277
  • ISSN: 0862-7940

Abstract

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We consider a system of balance laws describing the motion of an ionized compressible fluid interacting with magnetic fields and radiation effects. The local-in-time existence of a unique smooth solution for the Cauchy problem is proven. The proof follows from the method of successive approximations.

How to cite

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Rohde, Christian, and Zajączkowski, Wojciech M.. "On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation." Applications of Mathematics 48.4 (2003): 257-277. <http://eudml.org/doc/33149>.

@article{Rohde2003,
abstract = {We consider a system of balance laws describing the motion of an ionized compressible fluid interacting with magnetic fields and radiation effects. The local-in-time existence of a unique smooth solution for the Cauchy problem is proven. The proof follows from the method of successive approximations.},
author = {Rohde, Christian, Zajączkowski, Wojciech M.},
journal = {Applications of Mathematics},
keywords = {magnetohydrodynamics; radiation transport; local existence; magnetohydrodynamics; radiation transport; local existence},
language = {eng},
number = {4},
pages = {257-277},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation},
url = {http://eudml.org/doc/33149},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Rohde, Christian
AU - Zajączkowski, Wojciech M.
TI - On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 4
SP - 257
EP - 277
AB - We consider a system of balance laws describing the motion of an ionized compressible fluid interacting with magnetic fields and radiation effects. The local-in-time existence of a unique smooth solution for the Cauchy problem is proven. The proof follows from the method of successive approximations.
LA - eng
KW - magnetohydrodynamics; radiation transport; local existence; magnetohydrodynamics; radiation transport; local existence
UR - http://eudml.org/doc/33149
ER -

References

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  9. Compressible Fluid Flow and Systems of Conservations Laws in Several Space Variables, Springer, 1984. (1984) MR0748308
  10. Radiation hydrodynamics, In: Computational methods for astrophysical fluid flow. Saas-Fee advanced course 27.  Lecture notes  1997, O. Steiner et al. (eds.), Swiss Society for Astrophysics and Astronomy, 1998, pp. 161–261. (1998) Zbl0940.76083
  11. Introduction to Physical Gas Dynamics, Wiley, 1965. (1965) 
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