Measure-valued solutions to the complete Euler system revisited

Jan Březina, Eduard Feireisl

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

抄録

We consider the complete Euler system describing the time evolution of a general inviscid compressible fluid. We introduce a new concept of measure-valued solution based on the total energy balance and entropy inequality for the physical entropy without any renormalization. This class of so-called dissipative measure-valued solutions is large enough to include the vanishing dissipation limits of the Navier–Stokes–Fourier system. Our main result states that any sequence of weak solutions to the Navier–Stokes–Fourier system with vanishing viscosity and heat conductivity coefficients generates a dissipative measure-valued solution of the Euler system under some physically grounded constitutive relations. Finally, we discuss the same asymptotic limit for the bi-velocity fluid model introduced by H.Brenner.

元の言語英語
記事番号57
ジャーナルZeitschrift fur Angewandte Mathematik und Physik
69
発行部数3
DOI
出版物ステータス出版済み - 6 1 2018

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Measure-valued Solutions
Euler System
Entropy
Fluids
Energy balance
entropy
Entropy Inequality
Vanishing Viscosity
Thermal conductivity
compressible fluids
Asymptotic Limit
Energy Balance
Compressible Fluid
Constitutive Relations
Fluid Model
Viscosity
Renormalization
Conductivity
Weak Solution
Dissipation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

これを引用

Measure-valued solutions to the complete Euler system revisited. / Březina, Jan; Feireisl, Eduard.

:: Zeitschrift fur Angewandte Mathematik und Physik, 巻 69, 番号 3, 57, 01.06.2018.

研究成果: ジャーナルへの寄稿記事

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