Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front

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Abstract

In the present paper, we derive the kinetic equation and impulsive condition and formulate a class of kinetic solutions to impulsive ultra-parabolic equations. Here ultra-parabolic equations are linked with diffusion processes with inertia (convective heat transfer) on a shock wave front.

Original languageEnglish
Article number012037
Number of pages7
JournalIOP Conference Series: Earth and Environmental Science
Volume193
Issue number1
DOIs
Publication statusPublished - 30 Oct 2018
Event5th All-Russian Conference with International Participation on Polar Mechanics 2018 - Novosibirsk, Akademgorodok, Russian Federation
Duration: 9 Oct 201811 Oct 2018

Keywords

  • convective heat transfer
  • genuine nonlinearity condition
  • impulsive condition
  • kinetic solution
  • ultra-parabolic equation
  • ENTROPY SOLUTIONS
  • STRONG TRACES

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