Global solutions to planar magnetohydrodynamic equations with radiation and large initial data

preprint2011arXivOpen access

Abstract

A global existence result is established for a free boundary problem of planar magnetohydrodynamic fluid flows with radiation and large initial data. Particularly, it is novelty to embrace the constant transport coefficient. As a by-product, the free boundary is shown to expand outward at an algebraic rate from above in time.

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