Sobolev Gradients and Differential Equations
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transonic flow in which type depends locally on nonlinearities, and (3) minimal surface problems. Sobolev gradient constructions rely on a study of orthogonal…
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Produktdetails
- ISBN: 978-3-540-69594-3
- EAN: 9783540695943
- Produktnummer: 37146268
- Verlag: Springer Berlin Heidelberg
- Sprache: Englisch
- Erscheinungsjahr: 2006
- Seitenangabe: 152 S.
- Plattform: PDF
- Auflage: 1997
- Reihenbandnummer: 1670
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