Introduction to the Mathematical Theory of Compressible Flow

By Antonín Novotný, Sud Toulon-Var, I. Straškraba. 2004

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Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor (2015, methodology): “Straskraba [55], the monograph Etats de la Recherche edited by D.”
Relative Entropies, Suitable Weak Solutions, and Weak-Strong Uniqueness for the Compressible Navier–Stokes System (2011, background): “7 Existence of finite energy weak solutions for certain classes of unbounded domains was shown in [19], see also Lions [15].”
Nonlinear parabolic problems in Musielak--Orlicz spaces (2013, unknown): “[28]) Ω = ⋃”
Vanishing Viscous Limits for 3D Navier–Stokes Equations with a Navier-Slip Boundary Condition (2012, background): “T). 7 Let t0 ∈ [0,T] be such that αc0H(t0)αt0 <1, where H(t) = y(0)+ Zt 0 h(s)ds. Then for all t∈ [0,t0] there holds y(t) ≤ H(t)+H(t) (1−αc0H(t)αt)− 1 α −1 . Proof. a) and b) are standard, see [24]. For the proof of part c), one can refer to the Appendix of [12]. The following theorems ensures ”