Large time behaviour of solutions to nonhomogeneous diffusion equations

Jean Dolbeault, and Grzegorz Karch. "Large time behaviour of solutions to nonhomogeneous diffusion equations." Banach Center Publications 74.1 (2006): 133-147. <http://eudml.org/doc/282378>.

@article{JeanDolbeault2006,
abstract = {This note is devoted to the study of the long time behaviour of solutions to the heat and the porous medium equations in the presence of an external source term, using entropy methods and self-similar variables. Intermediate asymptotics and convergence results are shown using interpolation inequalities, Gagliardo-Nirenberg-Sobolev inequalities and Csiszár-Kullback type estimates.},
author = {Jean Dolbeault, Grzegorz Karch},
journal = {Banach Center Publications},
keywords = {porous media equation; large time behaviour; estimates; intermediate asymptotics; Fokker Plank type equation; relative entropy method; interpolation inequalities},
language = {eng},
number = {1},
pages = {133-147},
title = {Large time behaviour of solutions to nonhomogeneous diffusion equations},
url = {http://eudml.org/doc/282378},
volume = {74},
year = {2006},
}

TY - JOUR
AU - Jean Dolbeault
AU - Grzegorz Karch
TI - Large time behaviour of solutions to nonhomogeneous diffusion equations
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 133
EP - 147
AB - This note is devoted to the study of the long time behaviour of solutions to the heat and the porous medium equations in the presence of an external source term, using entropy methods and self-similar variables. Intermediate asymptotics and convergence results are shown using interpolation inequalities, Gagliardo-Nirenberg-Sobolev inequalities and Csiszár-Kullback type estimates.
LA - eng
KW - porous media equation; large time behaviour; estimates; intermediate asymptotics; Fokker Plank type equation; relative entropy method; interpolation inequalities
UR - http://eudml.org/doc/282378
ER -