2009, English, Article edition: Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set Bresch, Didier; Desjardins, Benoit; Grenier, Emmanuel

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Singular ordinary differential equations homogeneous of degree 0 near a codimension 2 set
Author
  • Bresch, Didier
  • Desjardins, Benoit
  • Grenier, Emmanuel
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • This work deals with an example of class of ordinary differential equations which are singular near a codimension 2 set, with an homogeneous singularity of degree 0. Under some structural assumptions, we prove that for almost all initial data there exists a unique global solution and study the evolution of the Lebesgue measure of a transported set of initial data. The analysis is motivated by the Low Mach number asymptotics of compressible fluid models in the case of non isentropic flows, which involves such dynamical systems.
  • HAL:hal-00408619, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00408619/​en/​
Language
  • English
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