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Traveling Wave Solutions of Parabolic Systems - Mathematics Book

Mathematics

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Description

Explore the rapidly developing field of modern mathematics with Traveling Wave Solutions of Parabolic Systems. This volume, part of the Translations of Mathematical Monographs series, provides a comprehensive overview of wave solutions within parabolic equations and systems. It covers essential topics including the existence, stability, and bifurcations of these solutions. Readers will find deep insights through original approaches developed by the authors. The text details the long-term behavior of solutions via systems of waves and explores the construction of rotations of vector fields for noncompact operators. Additionally, the book provides a formal proof of the existence of waves using the Leray-Schauder method. This work serves as a vital resource for mathematicians and researchers studying the complexities of parabolic systems and their wave-like behaviors.

Key Features

Covers current results regarding the existence, stability, and bifurcations of wave solutions in parabolic systems.

Presents original mathematical approaches developed by the authors to solve complex problems.

Provides a detailed description of the long-term behavior of solutions through systems of waves.

Includes the construction of rotations of vector fields for noncompact operators used in wave solutions.

Offers a formal proof of wave existence using the Leray-Schauder method for mathematical rigor.

Published by the American Mathematical Society as part of the Translations of Mathematical Monographs series.

Product Specifications

Format: paperback
ASIN: 0821811436
Category: Books > Subjects > Science, Nature & Maths > Mathematics
Domain: Amazon UK
Release Date: 03 August 2000
Listed Since: 10 December 2006

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Traveling Wave Solutions of Parabolic Systems - Mathematics Book

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