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Lobachevskii Journal of Mathematics, 2006, Volume 24, Pages 63–72
(Mi ljm12)
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Self-similar solutions for a nonlinear degenerate parabolic equation
Ch. Liu Jilin University
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.
Citation:
Ch. Liu, “Self-similar solutions for a nonlinear degenerate parabolic equation”, Lobachevskii J. Math., 24 (2006), 63–72
Linking options:
https://www.mathnet.ru/eng/ljm12 https://www.mathnet.ru/eng/ljm/v24/p63
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