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Boundary-value problems with free boundaries for elliptic systems of equations

Author: V N Monakhov; L I︠A︡ Leĭfman
Publisher: Providence, R.I. : American Mathematical Society, ©1983.
Series: Translations of mathematical monographs, v. 57.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Monakhov, V. N. (Valentin Nikolaevich).
Boundary-value problems with free boundaries for elliptic systems of equations.
Providence, R.I. : American Mathematical Society, ©1983
(DLC) 83002754
(OCoLC)9282543
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V N Monakhov; L I︠A︡ Leĭfman
ISBN: 9781470444716 1470444712
OCLC Number: 1031919666
Description: 1 online resource.
Contents: I. The boundary-value problems of Riemann and Hilbert II. Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions III. The mixed boundary-value problem with free boundary IV. Flows of an incompressible fluid with free boundaries V. Quasiconformal mappings and generalized solutions of elliptic systems of equations on the plane VI. Boundary-value problems VII. Boundary-value problems in hydrodynamics and subsonic gas dynamics VIII. Problems in filtration theory for a fluid with free boundaries IX. Some planar problems with an unknown boundary in elasticity theory
Series Title: Translations of mathematical monographs, v. 57.
Other Titles: Kraevye zadachi so svobodnymi granit︠s︡ami dli︠a︡ ėllipticheskikh sistem uravneniĭ.
Responsibility: by V.N. Monakhov ; [translated from the Russian by H.H. McFaden ; translation edited by Lev J. Leifman].

Abstract:

This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and.

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