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      On conserved Penrose-Fife type models

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          Abstract

          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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          Author and article information

          Journal
          2010-02-04
          Article
          1002.0928
          8a3f90d0-0873-4310-b5cf-a45a0a2a45b3

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          35K55, 35B38, 35B40, 35B65, 82C26
          32 pages
          math.AP

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