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.
@article{bwmeta1.element.doi-10_1515_math-2017-0074,
author = {Huashui Zhan},
title = {The nonlinear diffusion equation of the ideal barotropic gas through a porous medium},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {895-906},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0074}
}
Huashui Zhan. The nonlinear diffusion equation of the ideal barotropic gas through a porous medium. Open Mathematics, Tome 15 (2017) pp. 895-906. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0074/