Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2022.109499
Abstract: Abstract. We study the vanishing dissipation limit of the three-dimensional (3D) compressible Navier-Stokes-Fourier equations to the corresponding 3D full Euler equations. Our results are twofold. First, we prove that the 3D compressible Navier-Stokes-Fourier equations admit… read more here.
Keywords: fourier equations; dissipation; stokes fourier; compressible navier ... See more keywords
On a Navier–Stokes–Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions
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DOI: 10.1016/j.nonrwa.2017.10.008
Abstract: We study a generalization of the Navier-Stokes-Fourier system for an incompressible fluid where the deviatoric part of the Cauchy stress tensor is related to the symmetric part of the velocity gradient via a maximal monotone… read more here.
Keywords: temperature; slip boundary; system; fluid ... See more keywords
A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819400061
Abstract: We present a variational formulation for the Navier–Stokes–Fourier system based on a free energy Lagrangian. This formulation is a systematic infinite-dimensional extension of the variational approach to the thermodynamics of discrete systems using the free… read more here.
Keywords: formulation; fourier system; stokes fourier; navier stokes ... See more keywords