Titlebook: Distributions in the Physical and Engineering Sciences, Volume 2; Linear and Nonlinear Alexander I. Saichev,Wojbor A. Woyczynski Textbook 2

舉止粗野的人

Nonlinear Waves and Growing Interfaces: 1-D Burgers–KPZ Modelspative and/or dispersive effects. Apart from being model equations for specific physical phenomena, Burgers–KPZ equations are generic nonlinear equations that often serve as a testing ground for ideas for analysis of other nonlinear equations. They also produce a striking typically nonlinear phenomenon: shock formation.

Adenoma

Waves and Hyperbolic Equationss of . in dispersive media; a discussion of nonlinear waves will be postponed until Chaps. 12–14. Here the methods of choice are integral transforms and asymptotic relations, especially the Fourier transform and the stationary phase method.

易彎曲

Die allgemeinen Gr?sse- und Lagebeziehungen Helmholtz equation with a variable coefficient and an analysis of waves in waveguides. The latter can be reduced to the celebrated Sturm–Liouville problem, and we study properties of its eigenvalues and eigenfunctions.

深淵

Die Methode des ? self-consistent field?e diffraction problem and the so-called Fresnel zones. Multidimensional parabolic equation follow, and the general reflection method is explained. The chapter concludes with a study of the moving boundary problem and the standard physical problem of particle motion in a potential well.

EVADE

瑪瑙

Max Wutz,Hermann Adam,Wilhelm Walcherpative and/or dispersive effects. Apart from being model equations for specific physical phenomena, Burgers–KPZ equations are generic nonlinear equations that often serve as a testing ground for ideas for analysis of other nonlinear equations. They also produce a striking typically nonlinear phenomenon: shock formation.

DNR215

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