Hugendubel.info - Die B2B Online-Buchhandlung 

Merkliste
Die Merkliste ist leer.
Bitte warten - die Druckansicht der Seite wird vorbereitet.
Der Druckdialog öffnet sich, sobald die Seite vollständig geladen wurde.
Sollte die Druckvorschau unvollständig sein, bitte schliessen und "Erneut drucken" wählen.

Nonlinear Waves in Inhomogeneous and Hereditary Media

BuchKartoniert, Paperback
121 Seiten
Englisch
Springererschienen am30.03.19921992
This booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types.mehr

Produkt

KlappentextThis booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types.
ZusammenfassungDieser Band liefert eine Studie über eindimensionale Wellen in inhomogenen und hereditaren Medien (d.h. Medien mit "Gedächtnis"). Die Autoren wenden eine neue, mathematisch exakte Faktorisierungsmethode an, die entweder zur exakten oder zur asymptotischen Zerlegung nichtlinearer Wellengleichungen in Multiplikatoren erster Ordnung führt.This monograph presents the study of one-dimensional waves in inhomogeneous and hereditary media (i.e., media with memory). A new mathematically rigorous factorization method is applied which yields either an exact or an asymptotic decomposition of the nonlinear wave equations under consideration into first order multipliers. A central result presented in the book is a factorization theorem for the simple wave equation with constant coefficients. It permits to view Riemann invariants and simple waves from a different angle and is used to go over to wave equations with variable coefficients and memory.
Details
ISBN/GTIN978-3-540-54536-1
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr1992
Erscheinungsdatum30.03.1992
Auflage1992
ReiheResearch Reports in Physics
Seiten121 Seiten
SpracheEnglisch
Gewicht200 g
IllustrationenX, 121 p. 4 illus.
Artikel-Nr.18222509

Inhalt/Kritik

Inhaltsverzeichnis
1. Nonlinear Waves in Homogeneous Media.- 1.1 Preliminaries.- 1.2 Nonlinear Hyperbolic Equations of the First Order.- 1.3 Exact Factorization of the Nonlinear Wave Equation with Constant Coefficients.- 1.4 Shock-Wave in a Simple System.- 1.5 The Shock-Wave in a Simple System (Continuation).- 2. Nonlinear Short Waves of Finite Amplitude in Inhomogeneous Media.- 2.1 Asymptotic Factorization of the Nonlinear Wave Equation with a Variable Coefficient.- 2.2 When is the Factorization Exact?.- 2.3 Asymptotic Factorization of the General Nonlinear Wave Equation with Variable Coefficients.- 2.4 Evolution of Maximal Amplitude of the Stress Wave.- 2.5 Propagation of a Stress Wave in a Homogeneous Nonlinear Elastic Rod Located in the Gravity Field.- 3. Nonlinear Waves in Media with Memory.- 3.1 Hereditary Elasticity.- 3.2 Small Quadratic Nonlinearity.- 3.3 Continuous Stationary Profile Waves and Nonzero Solutions of Homogeneous Integral Volterra Equations.- 3.4 Stationary Profile Shock-Waves and Self-Coordinated Integral Volterra Equations.- 3.5 Waves Tending to a Stationary Profile.- 3.6 Nonstationary Waves Analog of the Landau-Whitham Formula.- 3.7 General Nonlinearity. Further Factorization Theorems for Nonlinear Wave Equations with Memory.- 3.8 Nonstationary Waves for an Exponential Memory Function.- 3.9 Reflection of a Wave from the Boundary Between Linear Elastic and Nonlinear Hereditary Media.- 3.10 The Exactly Factorizable Linear Wave Equation with Memory and a Variable Coefficient.- References.mehr

Schlagworte