Connections Between Stability, Convexity of Internal Energy, and the Second Law for Compressible Newtonian Fluids

DOI10.1115/1.1831297zbMath1111.74325OpenAlexW2003780616MaRDI QIDQ3444144

Stephen E. Bechtel, M. Gregory Forest, Francis J. Rooney

Publication date: 1 June 2007

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.1831297

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items

Mathematical analysis of fluids in motion: from well-posedness to model reduction ⋮ Thermodynamic modeling of fully coupled finite-deformation thermo-electro-magneto-mechanical behavior for multifunctional applications ⋮ On the Gibbs conditions of stable equilibrium, convexity and the second-order variations of thermodynamic potentials in nonlinear thermoelasticity ⋮ Time periodic motion of temperature driven compressible fluids ⋮ Incompressible limits and propagation of acoustic waves in large domains with boundaries ⋮ On the weak solutions to the multicomponent reactive flows driven by non-conservative boundary conditions ⋮ The Rayleigh-Bénard problem for compressible fluid flows ⋮ On convergence of approximate solutions to the compressible Euler system ⋮ ON THE INCOMPRESSIBLE LIMIT FOR THE NAVIER–STOKES–FOURIER SYSTEM IN DOMAINS WITH WAVY BOTTOMS ⋮ Measure-valued solutions to the complete Euler system ⋮ On the long-time behaviour of solutions to the Navier-Stokes-Fourier system with a time-dependent driving force ⋮ Gregory Internal constraint theories for the thermal expansion of viscous fluids. ⋮ Weak-strong uniqueness property for the full Navier-Stokes-Fourier system ⋮ Mathematical models of incompressible fluids as singular limits of complete fluid systems ⋮ Measure-valued solutions to the complete Euler system revisited ⋮ Navier-Stokes-Fourier system with general boundary conditions