Sonnendrucker E. (editor) Three Courses on Partial Differential Equations

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добавлен 03 февраля 2011 г.

Walter de Gruyter, 2003. - 162 pages.

Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research.

This book provides an introduction to three different topics in partial differential equations arising from applications. The subject of the first course by Michel Chipot is equilibrium positions of several disks rolling on a wire. In particular, existence and uniqueness of and the exact position for an equilibrium are discussed.

The second course by Josselin Gaier deals with problems arising from acoustics and geophysics where waves propagate in complicated media, the properties of which can only be described statistically. It tus out that if the different scales presented in the problem can be separated, there exists a deterministic result.

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