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Navier–Stokes–Fourier system with phase transitions

Watson, Stephen J.

Meccanica (Milan), 2023-06, Vol.58 (6), p.1163-1172 [Periódico revisado por pares]

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Título:
Navier–Stokes–Fourier system with phase transitions
Autor: Watson, Stephen J.
Assuntos: Automotive Engineering ; Boundary value problems ; Civil Engineering ; Classical Mechanics ; Compressible fluids ; Engineering ; Estimates ; Fluid flow ; Liquid phases ; Low temperature ; Mechanical Engineering ; Navier-Stokes equations ; Phase transitions ; Specific volume
É parte de: Meccanica (Milan), 2023-06, Vol.58 (6), p.1163-1172
Descrição: We consider the Navier–Stokes–Fourier ( N S F ) system for a class of compressible fluids that exhibit a gas-liquid phase transition at low temperatures. For the initial-boundary value problem corresponding to thermally insulated end-points that are held at a constant pressure, we establish the existence and uniqueness of temporally global classical solutions. A novel feature of the analysis presented here is the derivation of uniform point-wise apriori estimates on the specific volume, which refines the non-uniform estimates framework developed in Watson (Arch Ration Mech Anal 153:1–37, 2000).
Editor: Dordrecht: Springer Netherlands
Idioma: Inglês

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