| 书目名称 | Variational Problems with Concentration |
| 编辑 | Martin Flucher |
| 视频video | |
| 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications |
| 图书封面 |  |
| 描述 | To start with we describe two applications of the theory to be developed in this monograph: Bernoulli‘s free-boundary problem and the plasma problem. Bernoulli‘s free-boundary problem This problem arises in electrostatics, fluid dynamics, optimal insulation, and electro chemistry. In electrostatic terms the task is to design an annular con denser consisting of a prescribed conducting surface 80. and an unknown conduc tor A such that the electric field ‘Vu is constant in magnitude on the surface 8A of the second conductor (Figure 1.1). This leads to the following free-boundary problem for the electric potential u. -~u 0 in 0. A, u 0 on 80., u 1 on 8A, 8u Q on 8A. 811 The unknowns are the free boundary 8A and the potential u. In optimal in sulation problems the domain 0. A represents the insulation layer. Given the exterior boundary 80. the problem is to design an insulating layer 0. A of given volume which minimizes the heat or current leakage from A to the environment ]R.n n. The heat leakage per unit time is the capacity of the set A with respect to n. Thus we seek to minimize the capacity among all sets A c 0. of equal volume. |
| 出版日期 | Book 1999 |
| 关键词 | Euler–Lagrange equation; Robin functions; Variational calculus; compactness; differential equation; extre |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-8687-1 |
| isbn_softcover | 978-3-0348-9729-7 |
| isbn_ebook | 978-3-0348-8687-1Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
| issn_series | 1421-1750 |
| copyright | Springer Basel AG 1999 |
发表于 2025-3-21 18:14:14
