Fuchsian reduction is a method for representing solutions of
nonlinear PDEs near singularities. The technique has multiple
applications including soliton theory, Einstein's equations and
cosmology, stellar models, laser collapse, conformal geometry and
combustion. Developed in the 1990s for semilinear wave equations,
Fuchsian reduction research has grown in response to those problems
in pure and applied mathematics where numerical computations fail.
This work unfolds systematically in four parts, interweaving
theory and applications. The case studies examined in Part III
illustrate the impact of reduction techniques, and may serve as
prototypes for future new applications. In the same spirit, most
chapters include a problem section. Background results and
solutions to selected problems close the volume.
This book can be used as a text in graduate courses in pure or
applied analysis, or as a resource for researchers working with
singularities in geometry and mathematical physics.
General
| Imprint: |
Birkhauser Boston
|
| Country of origin: |
United States |
| Series: |
Progress in Nonlinear Differential Equations and Their Applications, 71 |
| Release date: |
September 2007 |
| First published: |
2007 |
| Authors: |
Satyanad Kichenassamy
|
| Dimensions: |
235 x 155 x 20mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
289 |
| Edition: |
2007 ed. |
| ISBN-13: |
978-0-8176-4352-2 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
| LSN: |
0-8176-4352-4 |
| Barcode: |
9780817643522 |
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