Fuchsian Reduction: Applications to Geometry, Cosmology and by Satyanad Kichenassamy PDF

By Satyanad Kichenassamy

Fuchsian aid is a technique for representing options of nonlinear PDEs close to singularities. The method has a number of functions together with soliton idea, Einstein's equations and cosmology, stellar types, laser cave in, conformal geometry and combustion. built within the Nineteen Nineties for semilinear wave equations, Fuchsian aid learn has grown in accordance with these difficulties in natural and utilized arithmetic the place numerical computations fail.
This paintings unfolds systematically in 4 components, interweaving conception and purposes. The case experiences tested partly III illustrate the effect of relief concepts, and will function prototypes for destiny new functions. within the similar spirit, so much chapters comprise an issue part. historical past effects and ideas to chose difficulties shut the volume.
This booklet can be utilized as a textual content in graduate classes in natural or utilized research, or as a source for researchers operating with singularities in geometry and mathematical physics.

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