Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations

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Abstract

In the present paper we deal with kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. The genuine nonlinearity condition enables to prove the existence of one-sided traces of these solutions on fixed-Time hyperplanes. The latter fact provides the impulsive condition. This type of equations can be used in the fluctuating hydrodynamics.

Original languageEnglish
Article number20
Number of pages7
JournalMathematical Modelling of Natural Phenomena
Volume13
Issue number2
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Entropy solution
  • Fluctuating hydrodynamics
  • Initial-boundary value problem
  • Kinetic solution
  • Parabolic regularization
  • Quasilinear impulsive hyperbolic equation
  • EXISTENCE
  • kinetic solution
  • parabolic regularization
  • STRONG TRACES
  • quasilinear impulsive hyperbolic equation
  • initial-boundary value problem
  • SCALAR CONSERVATION-LAWS
  • SYSTEMS
  • fluctuating hydrodynamics
  • 1ST-ORDER

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