Mathematics of Open Fluid Systems

DOI10.1007/978-3-030-94793-4zbMath1504.76003OpenAlexW4226120691MaRDI QIDQ5028349

Eduard Feireisl, Antonin Novotny

Publication date: 9 February 2022

Published in: Nečas Center Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-94793-4

zbMATH Keywords

weak solutionexistenceNavier-Stokes equationsuniquenessentropy balancelong-time behaviourcompressible fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Foundations of fluid mechanics (76A02)

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The Oberbeck–Boussinesq system with non-local boundary conditions ⋮ Euler system with a polytropic equation of state as a vanishing viscosity limit ⋮ Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term ⋮ Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions ⋮ On the weak solutions to the multicomponent reactive flows driven by non-conservative boundary conditions ⋮ Error estimates of a finite volume method for the compressible Navier–Stokes–Fourier system ⋮ On the incompressible limit of a strongly stratified heat conducting fluid ⋮ Taylor–Couette flow with temperature fluctuations: Time periodic solutions

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