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Boundary-Value Problems with Free Boundaries for Elliptic Systems of Equations
 
V. N. Monakhov
Front Cover for 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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Front Cover for Boundary-Value Problems with Free Boundaries for Elliptic Systems of Equations
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Boundary-Value Problems with Free Boundaries for Elliptic Systems of Equations
V. N. Monakhov
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
Add to cart
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
Add bundle to cart
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 57; 1983; 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.
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for reviewers who would like to review an AMS book
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Translations of Mathematical Monographs
Volume: 57; 1983; 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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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