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Kichenassamy S. — Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics
Kichenassamy S. — Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics

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Название: Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics

Автор: Kichenassamy S.

Аннотация:

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.
Written for:
Graduate students in Mathematics and Physics, researchers interested in Fuchsian Reduction
Keywords:

* nonlinear differential equations
* singularity theory


Язык: en

Рубрика: Математика/

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 289

Добавлена в каталог: 11.12.2009

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