Weak-strong uniqueness for compressible Navier-Stokes system with slip\n boundary conditions on time dependent domains

2016/06/15 by Ondřej Kreml, Šárka Nečasová, Kreml, Ondřej +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1606.04723

openalex publication_date 2016/06/15 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28

Abstract

We consider the compressible Navier-Stokes system on time-dependent domains\nwith prescribed motion of the boundary, supplemented with slip boundary\nconditions for the velocity. We derive the relative entropy inequality in the\nspirit of Feireisl et al. for the system on moving domain and use it to prove\nthe weak-strong uniqueness property.\n

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