Fuchsian reduction: applications to geometry, cosmology and mathematical physics

By:

kicchenassamy, Satyanad

Material type: Book

BookPublication details: New Delhi: Springer India, 2007.Description: xv, 289p.; pbk; 23cmISBN:

9788184893830

Subject(s):

DDC classification:

516 KIC

Summary: 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. https://link.springer.com/book/10.1007/978-0-8176-4637-0

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	516 KIC (Browse shelf(Opens below))	1	Available		031655

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Previous	516 GAL Geometric methods and applications:	516 HOL Royal road to algebraic geometry	516 KAP Connections: the geometric bridge between art and science	516 KIC Fuchsian reduction: applications to geometry, cosmology and mathematical physics	516 RIF Sub-Riemannian geometry and optimal transport	516 THU What's next?: the mathematical legacy of William P. Thurston	516.08 ZON Cube-a window to convex and discrete geometry	Next

Includes reference and index

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.

https://link.springer.com/book/10.1007/978-0-8176-4637-0

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