The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

Huashui Zhan

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 895-906
  • ISSN: 2391-5455

Abstract

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The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of the solutions may be obtained without any boundary condition.

How to cite

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Huashui Zhan. "The nonlinear diffusion equation of the ideal barotropic gas through a porous medium." Open Mathematics 15.1 (2017): 895-906. <http://eudml.org/doc/288391>.

@article{HuashuiZhan2017,
abstract = {The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of the solutions may be obtained without any boundary condition.},
author = {Huashui Zhan},
journal = {Open Mathematics},
keywords = {Ideal barotropic gas; Porous medium; Boundary degeneracy},
language = {eng},
number = {1},
pages = {895-906},
title = {The nonlinear diffusion equation of the ideal barotropic gas through a porous medium},
url = {http://eudml.org/doc/288391},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Huashui Zhan
TI - The nonlinear diffusion equation of the ideal barotropic gas through a porous medium
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 895
EP - 906
AB - The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of the solutions may be obtained without any boundary condition.
LA - eng
KW - Ideal barotropic gas; Porous medium; Boundary degeneracy
UR - http://eudml.org/doc/288391
ER -

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