Compressible Nonlinearly Viscous Fluids: Asymptotic Analysis in a 3D Curved Domain

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597325" target="_blank" >RIV/61989592:15310/19:73597325 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2Fs00021-019-0412-y.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs00021-019-0412-y.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-019-0412-y" target="_blank" >10.1007/s00021-019-0412-y</a>

Result language
angličtina
Original language name
Compressible Nonlinearly Viscous Fluids: Asymptotic Analysis in a 3D Curved Domain
Original language description
Concerning three-dimensional models, an analytical solution is often impossible and numerical solution can be unduly complicated. Thus, we need to simplify three-dimensional models, when possible, prior to solving the problem. Recently, several lower-dimensional models for dynamics of compressible fluids were rigorously derived from three-dimensional models. We extend the current framework by dealing with nonsteady Navier–Stokes equations for compressible nonlinearly viscous fluids in a deformed three-dimensional domain. The deformation of the domain introduced new difficulties in the asymptotic analysis, because the deformation affects the limit equations in a non-trivial way.
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

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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