Non-Linear Waves in Dispersive Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Linear Waves in Dispersive Media write by V. I. Karpman. This book was released on 2016-01-22. Non-Linear Waves in Dispersive Media available in PDF, EPUB and Kindle. Non-Linear Waves in Dispersive Media introduces the theory behind such topic as the gravitational waves on water surfaces. Some limiting cases of the theory, wherein proof of an asymptotic class is necessary and generated, are also provided. The first section of the book discusses the notion of linear approximation. This discussion is followed by some samples of dispersive media. Examples of stationary waves are also examined. The book proceeds with a discussion of waves of envelopes. The concept behind this subject is from the application of the methods of geometrical optics to non-linear theory. A section on non-linear waves with slowly varying parameters is given at the end of the book, along with a discussion of the evolution of electro-acoustic waves in plasma with negative dielectric permittivity. The gravitational waves on fluid surfaces are presented completely. The text will provide valuable information for physicists, mechanical engineers, students, and researchers in the field of optics, acoustics, and hydrodynamics.
Dispersive Equations and Nonlinear Waves
Dispersive Equations and Nonlinear Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dispersive Equations and Nonlinear Waves write by Herbert Koch. This book was released on 2014-07-14. Dispersive Equations and Nonlinear Waves available in PDF, EPUB and Kindle. The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. The third part describes wave and Schrödinger maps. Starting by building heuristics about multilinear estimates, it provides a detailed outline of this very active area of geometric/dispersive PDE. It focuses on concepts and ideas and should provide graduate students with a stepping stone to this exciting direction of research.
Linear and Nonlinear Waves
Linear and Nonlinear Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear and Nonlinear Waves write by G. B. Whitham. This book was released on 2011-10-18. Linear and Nonlinear Waves available in PDF, EPUB and Kindle. Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.
Non-linear Waves in Dispersive Media
Non-linear Waves in Dispersive Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-linear Waves in Dispersive Media write by Vladimir Iosifovic Karpman. This book was released on 1975. Non-linear Waves in Dispersive Media available in PDF, EPUB and Kindle.
Linear And Nonlinear Wave Propagation
Linear And Nonlinear Wave Propagation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear And Nonlinear Wave Propagation write by Spencer P Kuo. This book was released on 2021-04-16. Linear And Nonlinear Wave Propagation available in PDF, EPUB and Kindle. Waves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers.Generic equations, describing wave and pulse propagation in linear and nonlinear systems, are introduced and analyzed as initial/boundary value problems. These systems cover the general properties of non-dispersive and dispersive, uniform and non-uniform, with/without dissipations. Methods of analyses are introduced and illustrated with analytical solutions. Wave-wave and wave-particle interactions ascribed to the nonlinearity of media (such as plasma) are discussed in the final chapter.This interdisciplinary textbook is essential reading for anyone in above mentioned disciplines. It was prepared to provide students with an understanding of waves and methods of solving wave propagation problems. The presentation is self-contained and should be read without difficulty by those who have adequate preparation in classic mechanics. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course.
