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arXiv · 2009.08207

Navier-Stokes-Fourier system with general boundary conditions

Eduard Feireisl·Antonin Novotny
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Abstract

We consider the Navier--Stokes--Fourier system in a bounded domain $\Omega \subset R^d$, $d=2,3$, with physically realistic in/out flow boundary conditions. We develop a new concept of weak solutions satisfying a general form of relative energy inequality. The weak solutions exist globally in time for any finite energy initial data and comply with the weak--strong uniqueness principle.

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Eduard Feireisl, Antonin Novotny. 2020-09-17. Navier-Stokes-Fourier system with general boundary conditions. https://doi.org/10.1007/s00220-021-04091-1

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