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Fuchsian Reduction:

Applications to Geometry, Cosmology, and Mathematical Physics
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Birkhauser Verlag GmbH, 2007 - 289 pagina's
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.

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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics
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TitelFuchsian Reduction: Applications to Geometry, Cosmology, and Mathematical Physics
Volume 71 van Progress in Nonlinear Differential Equations and Their Applications, ISSN 1421-1750
AuteurSatyanad Kichenassamy
UitgeverBirkhauser Verlag GmbH, 2007
ISBN081764637X, 9780817646370
Lengte289 pagina's
  
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