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Accueil du site > Publications > Lectures in Mathematics & Theoretical Physics > Volume 04 : Three Courses on Partial Differential Equations
Volume 04 : Three Courses on Partial Differential Equations
Editor : Eric Sonnendrücker
2003. 17 x 24 cm. VIII, 162 pages.
Paperback € 36,95 [D] / sFr 59,-
USA, Canada, Mexico : $36.95
ISBN 3-11-017958-X
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 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 deals with problems arising from acoustics and geophysics wherewaves propagate in complicated media, the properties of which can only be described statistically. It turns out that if the different scales presented in the problem can be separated, there exists a deterministic result. The third course is devoted to so-called inverse problems where one or several parameters of a partial differential equation need to be determined by using, for instance, measurements on the boundary of the domain. The question that arises naturally is what information is necessary to determine the unknown parameters. This question is answered in different settings. The text is addressed to students and researchers with a basic background in partial differential equations.
Contents :
Michel Chipot : Elastic deformations of membranes and wires
Josselin Garnier : Scattering, spreading, and localization of an acoustic pulse by a random
medium
Otared Kavian : Lectures on parameter identification
Distributor : de Gruyter.
Access to detailed information and order form on de Gruyter website
Dernière mise à jour le 9-04-2008
Dans la même rubrique :
- Présentation
- Volume 16 : Handbook of Pseudo-Riemannian Geometry and Supersymmetry
- Volume 15 : Renormalization and Galois Theories
- Volume 14 : Dynamical Systems and Processes
- Volume 13 : Handbook of Teichmüler Theory, volume II
- Volume 12 : Quantum Groups
- Volume 11 : Handbook of Teichmüller Theory, Volume I
- Volume 10 : Physics and Number Theory
- Volume 09 : Differential Equations and Quantum Groups
- Volume 08 : AdS/CFT Correspondence : Einstein Metrics and Their Conformal Boundaries
- Volume 07 : Numerical Methods for Hyperbolic and Kinetic Problems
- Volume 06 : Metric Spaces, Convexity and Nonpositive Curvature
- Volume 05 : Infinite Dimensional Groups and Manifolds
- Volume 03 : From Combinatorics to Dynamical Systems
- Volume 02 : Locally compact quantum groups and groupoids
- Volume 01 : Deformation Quantization
