Variational Problems with Concentration

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9783764361365

Verkäufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel

Variational Problems with Concentration

Verlag

Birkhäuser Basel

Erscheinungsjahr

1999

Sprache

Englisch

ISBN-10

3764361360

ISBN-13

9783764361365

Einband

Buch

Zustand

Neu

Über diesen Titel