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Boundary-Value Problems with Free Boundaries for Elliptic Systems of Equations

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Hardcover ISBN: 978-0-8218-4510-3
Product Code: MMONO/57
List Price: $135.00 MAA Member Price:$121.50
AMS Member Price: $108.00 Electronic ISBN: 978-1-4704-4471-6 Product Code: MMONO/57.E List Price:$135.00
MAA Member Price: $121.50 AMS Member Price:$108.00
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List Price: $202.50 MAA Member Price:$182.25
AMS Member Price: $162.00 Click above image for expanded view Boundary-Value Problems with Free Boundaries for Elliptic Systems of Equations Available Formats:  Hardcover ISBN: 978-0-8218-4510-3 Product Code: MMONO/57  List Price:$135.00 MAA Member Price: $121.50 AMS Member Price:$108.00
 Electronic ISBN: 978-1-4704-4471-6 Product Code: MMONO/57.E
 List Price: $135.00 MAA Member Price:$121.50 AMS Member Price: $108.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$202.50 MAA Member Price: $182.25 AMS Member Price:$162.00
• Book Details

Translations of Mathematical Monographs
Volume: 571983; 522 pp
MSC: 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.

• 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
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Volume: 571983; 522 pp
MSC: 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.

• 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
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