Singular Limits in Thermodynamics of Viscous Fluids

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Weak–Strong Uniqueness Property for the Full Navier–Stokes–Fourier System (2011, background): “9) Despite the fact that the framework of the weak solutions is sufficiently robust to provide: • a general existence theory of global-in-time solutions under certain restrictions imposed on the constitutive relations, see [14, Chapter 3]; • quite satisfactory and complete description of the long-ti”
Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor (2015, methodology): “The existence of such solutions may be done adapting the procedure for instance that we can find in [36] using appropriate Galerkin scheme, penalization terms and precise estimates.”
On the Inviscid Limit for the Compressible Navier–Stokes System in an Impermeable Bounded Domain (2012, neutral): “In this setting the existence of global weak solutions of the Navier-Stokes equations is known since the pioneering work [33] of Lions, later improved by Feireisl, Novotný and Petzeltová in [10], see also [11, 12], for various boundary conditions.”
On the flow of chemically reacting gaseous mixture (2012, background): “The question of existence of weak variational solutions has been addressed in [12] for evolutionary case with γ (5)3 .”