L∞ Solutions for a Model of Nonisothermal Polytropic Gas Flow

نویسندگان

  • Hermano Frid
  • Helge Holden
  • Kenneth H. Karlsen
چکیده

L∞ SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW∗ HERMANO FRID† , HELGE HOLDEN‡ , AND KENNETH H. KARLSEN‡ Abstract. We establish the global existence of L∞ solutions for a model of polytropic gas flow with varying temperature governed by a Fourier equation in the Lagrangian coordinates. The result is obtained by showing the convergence of a class of finite difference schemes, which includes the Lax–Friedrichs and Godunov schemes. Such convergence is achieved by proving the estimates required for the application of the compensated compactness theory.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 43  شماره 

صفحات  -

تاریخ انتشار 2011