Self-similar solutions for a nonlinear degenerate parabolic equation
Lobachevskii journal of mathematics, Tome 24 (2006), pp. 63-72

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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
Mots-clés : existence.
@article{LJM_2006_24_a4,
     author = {Ch. Liu},
     title = {Self-similar solutions for a nonlinear degenerate parabolic equation},
     journal = {Lobachevskii journal of mathematics},
     pages = {63--72},
     publisher = {mathdoc},
     volume = {24},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2006_24_a4/}
}
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Ch. Liu. Self-similar solutions for a nonlinear degenerate parabolic equation. Lobachevskii journal of mathematics, Tome 24 (2006), pp. 63-72. http://geodesic.mathdoc.fr/item/LJM_2006_24_a4/