Abstract
We investigate the global existence of a smooth solution to the one-dimensional compressible Navier–Stokes equation with radiation. The transport coefficients μ and κ are both degenerate. The pressure p(t,x) varies in different temperature regions. Our discussion considers the case when pressure p(t,x) satisfies the Benedict–Webb–Rubin equation at high temperature; the result obtained for this problem is presented for the first time.
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