Generalized lubrification models blow-up and global existence result.

J. Emile Rakotoson; J. Michel Rakotoson; Cédric Verbeke

RACSAM (2005)

  • Volume: 99, Issue: 2, page 235-241
  • ISSN: 1578-7303

Abstract

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We study a general mathematical model linked with various physical models. Especially, we focus on those models established by King or Spencer-Davis-Voorhees related to thin films extending the lubrication model studied by Bernis-Friedman. According to the initial data, we prove that, either, blow up or global existence can be obtained.

How to cite

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Rakotoson, J. Emile, Rakotoson, J. Michel, and Verbeke, Cédric. "Generalized lubrification models blow-up and global existence result.." RACSAM 99.2 (2005): 235-241. <http://eudml.org/doc/41015>.

@article{Rakotoson2005,
abstract = {We study a general mathematical model linked with various physical models. Especially, we focus on those models established by King or Spencer-Davis-Voorhees related to thin films extending the lubrication model studied by Bernis-Friedman. According to the initial data, we prove that, either, blow up or global existence can be obtained.},
author = {Rakotoson, J. Emile, Rakotoson, J. Michel, Verbeke, Cédric},
journal = {RACSAM},
keywords = {Ecuaciones en derivadas parciales no lineales; Problemas de valor de frontera; Derivadas de orden superior; Teorema de existencia; thin films; blow up; global existence},
language = {eng},
number = {2},
pages = {235-241},
title = {Generalized lubrification models blow-up and global existence result.},
url = {http://eudml.org/doc/41015},
volume = {99},
year = {2005},
}

TY - JOUR
AU - Rakotoson, J. Emile
AU - Rakotoson, J. Michel
AU - Verbeke, Cédric
TI - Generalized lubrification models blow-up and global existence result.
JO - RACSAM
PY - 2005
VL - 99
IS - 2
SP - 235
EP - 241
AB - We study a general mathematical model linked with various physical models. Especially, we focus on those models established by King or Spencer-Davis-Voorhees related to thin films extending the lubrication model studied by Bernis-Friedman. According to the initial data, we prove that, either, blow up or global existence can be obtained.
LA - eng
KW - Ecuaciones en derivadas parciales no lineales; Problemas de valor de frontera; Derivadas de orden superior; Teorema de existencia; thin films; blow up; global existence
UR - http://eudml.org/doc/41015
ER -

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