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

About this Title

V. N. Monakhov. Translated by H. H. McFaden

Publication: Translations of Mathematical Monographs
Publication Year: 1983; Volume 57
ISBNs: 978-0-8218-4510-3 (print); 978-1-4704-4471-6 (online)
DOI: https://doi.org/10.1090/mmono/057
MathSciNet review: MR717387
MSC: Primary 35J55; Secondary 30C60, 30E25, 35Q15

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Table of Contents

Front/Back Matter

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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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