Titlebook: Method of Difference Potentials and Its Applications; Viktor S. Ryaben’kii Book 2002 Springer-Verlag Berlin Heidelberg 2002 Integral equat

dapper

The Tricomi Problemicomi problem is a typical example of numerous problems arising in the study of plane transonic flows of compressible gas, e.g., of flows in the Laval nozzle or flows around contours. The Tricomi equation has the form . It is an equation of mixed type, since it is elliptic for . > 0 and hyperbolic for . < 0.

樹木心

Constructions of the Method of Difference Potentials for the Computation of Stressed States of Elastnded domain .: . which describes the plane stressed state of isotropic elastic materials. The Lamé constants . and . are positive and characterize the elastic properties of the material. The Lamé system is strongly elliptic in the sense of Vishik. The vector function . describes displacement from the equilibrium position (.).

Ballad

978-3-642-62715-6Springer-Verlag Berlin Heidelberg 2002

CODA

Method of Difference Potentials and Its Applications978-3-642-56344-7Series ISSN 0179-3632 Series E-ISSN 2198-3712

deface

PreliminariesHere we recall some well-known definitions and facts to be used later. A first reading can be restricted to the first three sections.

overhaul

laxative

intrude

Collar

TERRA

Problems of Internal Flows of Viscous Incompressible FluidsNonstationary flows of viscous incompressible fluids can be modeled as boundary-value problems for systems of differential Navier-Stokes equations. In the case of three-dimensional problems, the desired functions are velocity and pressure. In the case of plane flows, one can also use the stream function and vorticity as desired functions.