A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system

DOI10.1142/S0219887819400061zbMath1422.35132arXiv1706.09010OpenAlexW2963818346MaRDI QIDQ5233080

Hiroaki Yoshimura, François Gay-Balmaz

Publication date: 13 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09010

zbMATH Keywords

variational formulationnonequilibrium thermodynamicsNavier-Stokes-Fourier system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Variational principles of physics (49S05) Nonholonomic dynamical systems (37J60)

Related Items (4)

The Brinkman-Fourier system with ideal gas equilibrium ⋮ Analysis of a simplified model of rigid structure floating in a viscous fluid ⋮ Dirac structures in nonequilibrium thermodynamics ⋮ Single and double generator bracket formulations of multicomponent fluids with irreversible processes

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