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A kinetic model for approximately isentropic solutions of the Euler equations

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Publication:267498
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DOI10.1016/j.jde.2016.02.022zbMath1342.35236OpenAlexW2328553300MaRDI QIDQ267498

Mikhail Perepelitsa

Publication date: 8 April 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.02.022


zbMATH Keywords

Euler equationsexistence of solutionBGK Modelisentropic flow


Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)




Cites Work

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  • Convergence of the viscosity method for isentropic gas dynamics
  • Global existence to the BGK model of Boltzmann equation
  • Semigroups of linear operators and applications to partial differential equations
  • Regularity of the moments of the solution of a transport equation
  • Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
  • Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy
  • Microlocal defect measures
  • From Kinetic Equations to Multidimensional Isentropic Gas Dynamics Before Shocks


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