Global BV Solutions for the P-System with Frictional Damping

نویسندگان

  • Constantine M. Dafermos
  • Ronghua Pan
چکیده

We construct global BV solutions to the Cauchy problem for the damped p-system, under initial data with distinct end-states. The solution will be realized as a perturbation of its asymptotic profile, in which the specific volume satisfies the porous media equation and the velocity obeys the classical Darcy law for gas flow through a porous medium. Division of Applied Mathematics, Brown University School of Mathematics, Georgia Institute of Technology

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 41  شماره 

صفحات  -

تاریخ انتشار 2009