Generalized solutions to models of compressible viscous fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00535783" target="_blank" >RIV/67985840:_____/21:00535783 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcds.2020345" target="_blank" >http://dx.doi.org/10.3934/dcds.2020345</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2020345" target="_blank" >10.3934/dcds.2020345</a>

Result language
angličtina
Original language name
Generalized solutions to models of compressible viscous fluids
Original language description
We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equations modulo a defect measure. A dissipative solution coincides with the strong solution as long as the latter exists (weak–strong uniqueness) and they solve the problem in the classical sense as soon as they are smooth (compatibility). We consider general models of compressible viscous fluids with non–linear viscosity tensor and non–homogeneous boundary conditions, for which the problem of existence of global–in–time weak/strong solutions is largely open.
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
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OECD FORD branch
10101 - Pure mathematics

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

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

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