engleski

Non-homogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: regularity of the solution

An initial-boundary value problem for 1-D flow of a compressible viscous heat-conducting micropolar fluid is considered ; the fluid is thermodynamically perfect and polytropic. Assuming that the initial data are Hoelder continuous on ]0, 1[ and transforming the original problem into homogeneous one we prove that the state function is Hoelder continuous on ]0, 1[x]0, T[, for each T > 0. The proof is based on a global-in-time existence theorem obtained in the previous research paper and on a theory of parabolic equations.

micropolar fluid; Hoelder continuous; parabolic equation

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