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Lobachevskii Journal of Mathematics, 2006, Volume 24, Pages 63–72 (Mi ljm12)  
Self-similar solutions for a nonlinear degenerate parabolic equation

Ch. Liu

Jilin University
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Abstract: In this paper, the author investigates the initial boundary value problem for a nonlinear degenerate parabolic equation, which comes from a compressible fluid flowing in a homogeneous isotropic rigid porous medium. We establish the existence of nonnegative self-similar solutions.
Keywords: degenerate parabolic equation, self-similar solutions, existence.
Submitted by: A. V. Lapin
Received: 08.06.2006
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Language: English
Citation: Ch. Liu, “Self-similar solutions for a nonlinear degenerate parabolic equation”, Lobachevskii J. Math., 24 (2006), 63–72
Citation in format AMSBIB
\Bibitem{Liu06}
\by Ch.~Liu
\paper Self-similar solutions for a nonlinear degenerate parabolic equation
\jour Lobachevskii J. Math.
\yr 2006
\vol 24
\pages 63--72
\mathnet{http://mi.mathnet.ru/ljm12}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2292226}
\zmath{https://zbmath.org/?q=an:1130.35085}
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