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Boundary Value Problems in Mechanics of Nonhomogeneous Fluids

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The objective of this book is to report the results of investigations made by the authors into certain hydrodynamical models with nonlinear systems of partial differential equations.

The investigations involve the results concerning Navier-Stokes equations of viscous heat-conductive gas, incompressible nonhomogeneous fluid and filtration of multi-phase mixture in a porous medium. The correctness of the initial boundary-value problems and the qualitative properties of solutions are also considered. The book is written for those who are interested in the theory of nonlinear partial differential equations and their applications in mechanics.

Author(s): S.N. Antontsev, A.V. Kazhikhov and V.N. Monakhov (Eds.)
Series: Studies in Mathematics and Its Applications 22
Publisher: North Holland
Year: 1990

Language: English
Commentary: +OCR
Pages: ii-vii, 1-309

Content:
Edited by
Pages ii-iii

Copyright page
Page iv

Preface
Pages v-vii

Chapter 1 Models of the Dynamics OP Heterogeneous Media and the Body of Mathematics
Pages 1-37

Chapter 2 Correctness “IN THE WHOLE” of the Boundary Problems for Equations of One-Dimensional Non-Stationary Motion of a Viscous Gas
Pages 39-100

Chapter 3 Initial-Boundary Value Problems for the Navier-Stokes Equations of a Nonhomogeneous Viscous Incompressible Fluid
Pages 101-148

Chapter 4 Correctness of the Problem of Flowing Through for the of an Ideal Incompressible Liquid
Pages 149-197

Filtration of Immiscible Liquids
Pages 199-295

Literature
Pages 297-309