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The Small Dispersion Limit of the Korteweg-deVries Equations
Paperback
ISBN13: 9781024182576
Publisher: Hutson Street Press
Published: May 22 2025
Pages: 130
Weight: 0.42
Height: 0.28 Width: 6.14 Depth: 9.21
Language: English
The Small Dispersion Limit of the Korteweg-de Vries Equations explores the behavior of solutions to the Korteweg-de Vries (KdV) equation as the dispersion parameter approaches zero. This limit is crucial for understanding the transition from dispersive wave phenomena to non-dispersive behavior, with applications in various fields such as fluid dynamics, plasma physics, and nonlinear optics.
Authored by C. David Levermore and Peter D. Lax, this work delves into the mathematical analysis required to rigorously derive and characterize the small dispersion limit. The book provides insights into the formation of shock waves and other singular structures that arise in this limit. It is an essential resource for researchers and graduate students in applied mathematics, physics, and engineering who are interested in nonlinear wave phenomena and the asymptotic analysis of partial differential equations.
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1 different editions
Also available
The Small Dispersion Limit of the Korteweg-deVries Equations
Levermore, C. David
Lax, Peter D.
Hardcover
Also from
Levermore, C. David
The Small Dispersion Limit of the Korteweg-deVries Equations
Levermore, C. David
Lax, Peter D.
Hardcover
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