The Local Cauchy Problem for Ionized Magnetized Reactive Gas Mixtures
نویسندگان
چکیده
We investigate a system of partial differential equations modeling ionized magnetized reactive gas mixtures. In this model, transport fluxes are anisotropic linear combinations of fluid macroscopic variable gradients and also include the effect of macroscopic electromagnetic forces. By using entropic variables, we first recast the system of conservation laws into a partially symmetric conservative form and next into a partial normal form, that is, in the form of a quasilinear partially symmetric hyperbolicparabolic system. Using a result of Vol’Pert and Hudjaev, we prove local existence and uniqueness of a bounded smooth solution to the Cauchy problem.
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