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Spatial Patterns: Higher Order Models in Physics and Mechanics

Spatial Patterns: Higher Order Models in Physics and Mechanics

Hardcover

Series: Progress in Nonlinear Differential Equations and Their Appli, Book 45

Medical ReferenceGeneral MathematicsPhysics

ISBN10: 0817641106
ISBN13: 9780817641108
Publisher: Springer Nature
Published: Jun 21 2001
Pages: 343
Weight: 1.51
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
A study of nonlinear higher order model equations central to the description and analysis of spatio-temporal pattern formation in the natural sciences. Unique combination of results obtained by rigorous mathematical analysis and computational studies. Text exhibits the principal families of solutions--kinks, pulses and periodic solutions, and their dependence on critical eigenvalue parameters. Exposition first focuses on a single equation to achieve optimal transparency, then branches out to wider classes of equations. Includes many exercises, open problems, recent original results, and applications to mathematical physics and mechanics. Intended for mathematicians, mathematical physicists, and graduate students.

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