Improved a priori bounds for thermal fluid equations

DOI10.1090/tran/7529zbMath1445.76064arXiv1611.06431OpenAlexW2963516346MaRDI QIDQ4645099

Andrei Tarfulea

Publication date: 10 January 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06431

zbMATH Keywords

torustemperature-dependent viscosityMuckenhoupt weightweighted enstrophy estimate

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Diffusive and convective heat and mass transfer, heat flow (80A19)

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A boundary layer problem in nonflat domains with measurable viscous coefficients ⋮ The global existence of strong solutions for a non-isothermal ideal gas system ⋮ The Brinkman-Fourier system with ideal gas equilibrium ⋮ Positivity of temperature for some non-isothermal fluid models

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