Note on blow-up of solutions for a porous medium equation with convection and boundary flux

Zhiyong Wang, and Jingxue Yin. "Note on blow-up of solutions for a porous medium equation with convection and boundary flux." Colloquium Mathematicae 128.2 (2012): 223-228. <http://eudml.org/doc/286094>.

@article{ZhiyongWang2012,
abstract = {De Pablo et al. [Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 513-530] considered a nonlinear boundary value problem for a porous medium equation with a convection term, and they classified exponents of nonlinearities which lead either to the global-in-time existence of solutions or to a blow-up of solutions. In their analysis they left open the case of a certain critical range of exponents. The purpose of this note is to fill this gap.},
author = {Zhiyong Wang, Jingxue Yin},
journal = {Colloquium Mathematicae},
keywords = {diffusion and convection; finite time blow-up; critical exponents; nonlinear boundary value problem},
language = {eng},
number = {2},
pages = {223-228},
title = {Note on blow-up of solutions for a porous medium equation with convection and boundary flux},
url = {http://eudml.org/doc/286094},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Zhiyong Wang
AU - Jingxue Yin
TI - Note on blow-up of solutions for a porous medium equation with convection and boundary flux
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 2
SP - 223
EP - 228
AB - De Pablo et al. [Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 513-530] considered a nonlinear boundary value problem for a porous medium equation with a convection term, and they classified exponents of nonlinearities which lead either to the global-in-time existence of solutions or to a blow-up of solutions. In their analysis they left open the case of a certain critical range of exponents. The purpose of this note is to fill this gap.
LA - eng
KW - diffusion and convection; finite time blow-up; critical exponents; nonlinear boundary value problem
UR - http://eudml.org/doc/286094
ER -