Boundary-value problems with free boundaries for elliptic systems of equations
著者
書誌事項
Boundary-value problems with free boundaries for elliptic systems of equations
（Translations of mathematical monographs, v. 57）
American Mathematical Society, c1983
- タイトル別名
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Краевые задачи со свободными границами для эллиптических систем уравнений
Kraevye zadachi so svobodnymi granit︠s︡ami dli︠a︡ ėlipticheskikh sistem uravniniĭ
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注記
Translation of: Kraevye zadachi so svobodnymi granit︠s︡ami dli︠a︡ ėllipticheskikh sistem uravneniĭ
Bibliography: p. 517-522
内容説明・目次
内容説明
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.
目次
- 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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