arXiv 1002.09282010-02-04math.AP

On conserved Penrose-Fife type models

Jan Pruess, Mathias Wilke

备注：: 32 pages

英文摘要：

In this paper we investigate quasilinear parabolic systems of conserved Penrose-Fife type. We show maximal $L_p$ - regularity for this problem with inhomogeneous boundary data. Furthermore we prove global existence of a solution, provided that the absolute temperature is bounded from below and above. Moreover, we apply the Lojasiewicz-Simon inequality to establish the convergence of solutions to a steady state as time tends to infinity.

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