Navier-Stokes-Fourier system with general boundary conditions
Abstract
We consider the Navier--Stokes--Fourier system in a bounded domain ⊂ Rd, 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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