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A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations
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SYSNO ASEP 0489055 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations Author(s) Ciuperca, I. S. (FR)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Jai, M. (FR)
Petrov, A. (FR)Source Title Mathematical Models and Methods in Applied Sciences. - : World Scientific Publishing - ISSN 0218-2025
Roč. 28, č. 4 (2018), s. 697-732Number of pages 36 s. Language eng - English Country SG - Singapore Keywords compressible fluids ; stationary Navier-Stokes equations ; thin films Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000432721600003 EID SCOPUS 85044725731 DOI 10.1142/S0218202518500185 Annotation We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier–Stokes system on a thin domain. In particular, the existence of solutions to the Navier–Stokes system with non-homogeneous boundary conditions is shown that may be of independent interest. Our approach is based on new a priori bounds available for the pressure law of hard sphere type. Finally, uniqueness for the limit problem is established in the one-dimensional case. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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