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Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
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SYSNO ASEP 0548752 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids Author(s) Jin, B. (KR)
Kwon, Y.-S. (KR)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Novotný, A. (FR)Source Title Journal of Elliptic and Parabolic Equations. - : Springer - ISSN 2296-9020
Roč. 7, č. 2 (2021), s. 537-570Number of pages 34 s. Language eng - English Country CH - Switzerland Keywords compressible fluid ; bi-fluid model ; non-linear viscous fluid Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000713927100001 EID SCOPUS 85118451593 DOI 10.1007/s41808-021-00137-6 Annotation Following Abbatiello et al. (DCCDS-A 41(1):1–28, 2020), we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids filling a bounded domain with general non zero inflow/outflow boundary conditions. We prove existence of such solutions for all adiabatic coefficients γ> 1 , their compatibility with classical solutions, the relative energy inequality, and the weak–strong uniqueness principle in this class. The class of dissipative turbulent solutions is so far the largest class of generalized solutions which still enjoys the weak–strong uniqueness property. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.1007/s41808-021-00137-6
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