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Variational Problems with Concentration
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Variational Problems with Concentration Paperback - 2012

by Martin F. Bach

From the publisher

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.

Details

  • Title Variational Problems with Concentration
  • Author Martin F. Bach
  • Binding Paperback
  • Pages 163
  • Volumes 1
  • Language ENG
  • Publisher Birkhauser
  • Date 2012-11-02
  • ISBN 9783034897297 / 3034897294
  • Weight 0.56 lbs (0.25 kg)
  • Dimensions 9.21 x 6.14 x 0.38 in (23.39 x 15.60 x 0.97 cm)
  • Dewey Decimal Code 515.353

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Variational Problems with Concentration
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Variational Problems with Concentration

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Variational Problems with Concentration
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Variational Problems with Concentration

by Martin F. Bach

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Paperback / softback. New. This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.
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Variational Problems with Concentration
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Variational Problems with Concentration

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Variational Problems with Concentration (Progress in Nonlinear Differential Equations and Their...
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Variational Problems with Concentration (Progress in Nonlinear Differential Equations and Their Applications, 36)

by Bach, Martin F.

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