Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations
Author | : Valentin Nikolaevich Monakhov |
Publisher | : American Mathematical Soc. |
Total Pages | : 540 |
Release | : 1983 |
ISBN-10 | : 0821898078 |
ISBN-13 | : 9780821898079 |
Rating | : 4/5 (78 Downloads) |
Book excerpt: 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.