Boundary value problems of the mechanics of inhomogeneous fluids
Abstract
The mathematics of various hydrodynamic models described by nonlinear systems of partial derivative equations is reviewed. In particular, attention is given to Navier-Stokes equations for a heat conducting viscous gas, equations of the dynamics of inhomogeneous incompressible fluids, and a model for the filtration of multiphase fluids in a porous medium. The solvability of the initial boundary value problems for the above mentioned systems of equations is investigated, and the qualitative characteristics of solutions to these problems are examined.
- Publication:
-
Novosibirsk Izdatel Nauka
- Pub Date:
- 1983
- Bibcode:
- 1983NoIzN....S....A
- Keywords:
-
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Fluid Mechanics;
- Hydrodynamic Equations;
- Existence Theorems;
- Filtration;
- Fluid Filters;
- Incompressible Fluids;
- Inhomogeneity;
- Navier-Stokes Equation;
- Nonlinear Equations;
- Partial Differential Equations;
- Unsteady Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer