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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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