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Fuchsian Reduction - Applications to Geometry, Cosmology and Mathematical Physics (Hardcover, 2007 ed.): Satyanad Kichenassamy Fuchsian Reduction - Applications to Geometry, Cosmology and Mathematical Physics (Hardcover, 2007 ed.)
Satyanad Kichenassamy
R1,503 Discovery Miles 15 030 Ships in 10 - 15 working days

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.

Nonlinear Wave Equations (Hardcover): Satyanad Kichenassamy Nonlinear Wave Equations (Hardcover)
Satyanad Kichenassamy
R1,887 Discovery Miles 18 870 Ships in 12 - 17 working days

This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.

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