عنوان

Bergman's Linear Integral Operator Method in the Theory of Compressible Fluid Flow

(Number (ISBN

3709139945

(Number (ISBN

3709139953

(Number (ISBN

9783709139943

(Number (ISBN

9783709139950

Number

b586780

Title Proper

Bergman's Linear Integral Operator Method in the Theory of Compressible Fluid Flow

General Material Designation

[Book]

First Statement of Responsibility

von M.Z. Krzywoblocki.

Place of Publication, Distribution, etc.

Vienna

Name of Publisher, Distributor, etc.

Springer Vienna

Date of Publication, Distribution, etc.

1960

Specific Material Designation and Extent of Item

(x, 188 Seiten)

Text of Note

The reader who is somewhat acquainted with the field of compressible fluid flow hears much about Stefan Bergman's method of integral operators. It took many years for him to develop this method which is based primarily on the theory of analytic functions and particularly on the theory of)functions of two complex variables. The method, as a whole, is scattered throughout many papers in mathematical journals, and as a matter of fact, in its present state, is accessible only to those who are fully acquainted with mathematical literature. In one of their papers, Professors R. von Mises and M. Schiffer greatly simplified the method in the subsonic casco The purpose of the present work is to represent the method in all its variations in such a way that a theoretical engineer or an applied aerodynamicist can use it in practical applications. A professional mathematician will find the discussion too elementary for him. The parts of Bergman's presentation which are most interesting mathe matically-the proofs-are mostly omitted in the present work. The emphasis was put upon the simplified representation of the final results and formulas, rather than upon the derivation of those formulas. In the preliminary remarks the author discusses various types of singularities in a very elementary way. The first two parts of the work deal with the subsonic case. In these sections the author followed mostly the paper of von Mises and Schiffer.

Control, Robotics, Mechatronics.

Engineering.

Statistical Physics, Dynamical Systems and Complexity.

Class number

Book number

von M.Z. Krzywoblocki.

M Z Krzywoblocki

Electronic name

[Book]

Y