Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
| Autor: | Antonín Novotný, Bumja Jin, Young-Sam Kwon, Šárka Nečasová |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Numerical Analysis Partial differential equation Applied Mathematics Mathematical analysis Compressible flow Domain (mathematical analysis) Mathematics - Analysis of PDEs Bounded function FOS: Mathematics Dissipative system Uniqueness Outflow boundary Adiabatic process Analysis Analysis of PDEs (math.AP) |
| Zdroj: | Journal of Elliptic and Parabolic Equations. 7:537-570 |
| ISSN: | 2296-9039 2296-9020 |
| DOI: | 10.1007/s41808-021-00137-6 |
| Popis: | 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 $$\gamma >1$$ , 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. |
| Databáze: | OpenAIRE |
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