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A transformation of coordinates in a problem with a free boundary

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Publication:1177446
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DOI10.1007/BF00970473zbMath0766.35084OpenAlexW2016973633MaRDI QIDQ1177446

Vladimir N. Grebenev

Publication date: 26 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970473

zbMATH Keywords

existencecontinuitygeneralized solutioncompressible fluidnonstationary flowpositiveness


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)




Cites Work

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  • Continuity of the gradient for weak solutions of a degenerate parabolic equation
  • On a degenerate diffusion equation of the form \(c(z)_ t=\phi (z_ x)_ x\) with application to population dynamics
  • On the propagation properties of a nonlinear degenerate parabolic equation
  • A coordinate transformation for the porous media equation that renders the free boundary stationary
  • The Porous Medium Equation in One Dimension
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