Measure-valued solutions to the complete Euler system revisited

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00489594" target="_blank" >RIV/67985840:_____/18:00489594 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00033-018-0951-8" target="_blank" >http://dx.doi.org/10.1007/s00033-018-0951-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00033-018-0951-8" target="_blank" >10.1007/s00033-018-0951-8</a>

Result language
angličtina
Original language name
Measure-valued solutions to the complete Euler system revisited
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)