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| Hardcover ISBN: | 978-0-8218-4510-3 |
| Product Code: | MMONO/57 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4471-6 |
| Product Code: | MMONO/57.E |
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| Hardcover ISBN: | 978-0-8218-4510-3 |
| eBook ISBN: | 978-1-4704-4471-6 |
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Book DetailsTranslations of Mathematical MonographsVolume: 57; 1983; 522 ppMSC: Primary 35; Secondary 30
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 problems in elastico-plasticity.
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Table of Contents
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Part I. Boundary-value problems in the theory of analytic functions and their application to hydrodynamics
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I. The boundary-value problems of Riemann and Hilbert
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II. Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions
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III. The mixed boundary-value problem with free boundary
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IV. Flows of an incompressible fluid with free boundaries
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Part II. Generalized solutions of quasilinear systems of equations in the mechanics of continuous media
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V. Quasiconformal mappings and generalized solutions of elliptic systems of equations on the plane
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VI. Boundary-value problems
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VII. Boundary-value problems in hydrodynamics and subsonic gas dynamics
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VIII. Problems in filtration theory for a fluid with free boundaries
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IX. Some planar problems with an unknown boundary in elasticity theory
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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 problems in elastico-plasticity.
-
Part I. Boundary-value problems in the theory of analytic functions and their application to hydrodynamics
-
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
-
Part II. Generalized solutions of quasilinear systems of equations in the mechanics of continuous media
-
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
