Weak Solutions for Compressible Navier-Stokes-Fourier System in Two Space Dimensions with Adiabatic Exponent Almost One

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10438228" target="_blank" >RIV/00216208:11320/21:10438228 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=d5XG-3KuLX" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=d5XG-3KuLX</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10440-021-00394-6" target="_blank" >10.1007/s10440-021-00394-6</a>

Result language
angličtina
Original language name
Weak Solutions for Compressible Navier-Stokes-Fourier System in Two Space Dimensions with Adiabatic Exponent Almost One
Original language description
We study the evolutionary compressible Navier-Stokes-Fourier system in a bounded two-dimensional domain with the pressure law p(rho,theta)similar to rho(theta)+rho log(alpha)(1+rho)+theta(4). We consider the weak solutions with entropy inequality and total energy balance. We show the existence of this type of weak solutions without any restriction on the size of the initial conditions or the right-hand sides provided alpha>17+root 4 of 17/16 congruent to 2.34.
Czech name
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Czech description
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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
<a href="/en/project/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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