Geodesic
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation
Applications of Mathematics, Tome 48 (2003) no. 4, pp. 257-277.

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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.
DOI : 10.1023/A:1026010631074
Classification : 35L60, 35Q35, 76N10, 76W05
Keywords: magnetohydrodynamics; radiation transport; local existence 
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     title = {On the {Cauchy} problem for the equations of ideal compressible {MHD} fluids with radiation},
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Rohde, C.; Zajączkowski, W. On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Applications of Mathematics, Tome 48 (2003) no. 4, pp. 257-277. doi : 10.1023/A:1026010631074. http://geodesic.mathdoc.fr/articles/10.1023/A:1026010631074/

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