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Article

Rohde, C. ; Zajączkowski, W.
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. (English). Applications of Mathematics, vol. 48 (2003), issue 4, pp. 257-277
MSC: 35L60, 35Q35, 76N10, 76W05 | MR 1994377 | Zbl 1099.35060 | DOI: 10.1023/A:1026010631074
Keywords:
magnetohydrodynamics; radiation transport; local existence
Summary:
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.
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