The aim of this paper is to prove existence of non negative compactly supported
solutions for a nonlinear degenerate parabolic equation with a non Lipschitz source term in one space
dimension. This equation mimics the properties of the classical $k-\epsilon$ model in the context of turbulent
mixing flows with respect to nonlinearities and support properties of solutions.
¶ To the authors’ knowledge, originality of the method relies both in the fact with dealing with a
non Lipschitz source term and in the comparison of not only the speed but also the acceleration of
the support boundaries.
Publié le : 2009-03-15
Classification:
Degenerate parabolic equation,
nonLipschitz source term,
k-epsilon model,
speed and acceleration of support boundaries,
35K15,
35K65
@article{1257170904,
author = {Bouffandeau, B. and Bresch, D. and Desjardins, B. and Grenier , E.},
title = {Existence of Compactly Supported Solutions for a Degenerate Nonlinear Parabolic Equation with NonLipschitz Source Term},
journal = {Methods Appl. Anal.},
volume = {16},
number = {1},
year = {2009},
pages = { 45-54},
language = {en},
url = {http://dml.mathdoc.fr/item/1257170904}
}
Bouffandeau, B.; Bresch, D.; Desjardins, B.; Grenier , E. Existence of Compactly Supported Solutions for a Degenerate Nonlinear Parabolic Equation with NonLipschitz Source Term. Methods Appl. Anal., Tome 16 (2009) no. 1, pp. 45-54. http://gdmltest.u-ga.fr/item/1257170904/