On variation models of the irreversible processes in mechanics of solids and generalized hydrodynamics

DOI10.1134/S1995080219070060zbMath1458.74017OpenAlexW2964583250MaRDI QIDQ2330217

P. A. Belov, Sergey Lurie

Publication date: 25 October 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219070060

zbMATH Keywords

Biot theoryscale effectnon-integrable variational formDarcy hydrodynamicsNavier-Stokes hydrodynamics

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (3)

Variational formulation of coupled hydrodynamic problems ⋮ Variational formulation of linear equations of coupled thermohydrodynamics and heat conductivity ⋮ Analytical solution of Brinkman hydrodynamics in filtration problems

Cites Work

• A continuum model of microheterogeneous media
• Coupled thermal and hydrodynamic models of flat micro heat pipes for the cooling of multiple electronic components
• Numerical analysis of heat and mass transfer in the capillary structure of a loop heat pipe
• Transient thermal and hydrodynamic model of flat heat pipe for the cooling of electronics components
• Theory of space-time dissipative elasticity and scale effects
• Mechanics of Deformation and Acoustic Propagation in Porous Media

This page was built for publication: On variation models of the irreversible processes in mechanics of solids and generalized hydrodynamics