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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 59
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 59, Issue 1, January 2008
  4. A reduction approach for determining generalized simple waves
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 59, Issue 6, November 2008
Zeitschrift für angewandte Mathematik und Physik : Volume 59, Issue 5, September 2008
Zeitschrift für angewandte Mathematik und Physik : Volume 59, Issue 4, July 2008
Zeitschrift für angewandte Mathematik und Physik : Volume 59, Issue 3, May 2008
Zeitschrift für angewandte Mathematik und Physik : Volume 59, Issue 2, March 2008
Zeitschrift für angewandte Mathematik und Physik : Volume 59, Issue 1, January 2008
Life span of solutions of a weakly coupled parabolic system
Infinite Töplitz–Lipschitz matrices and operators
Homotopy analysis method for generalized Benjamin–Bona–lMahony equation
A reduction approach for determining generalized simple waves
Double shocks for a hydrodynamic model of semiconductors
Mixed convection boundary layer flow over a permeable vertical surface with prescribed wall heat flux
Channel flow of a Maxwell fluid with chemical reaction
Localization of plane waves in low temperature regime
Some extended analyses concerning the physics and kinematics of wave propagation in moving systems
A note on: “Monotone strain-stress models for shape memory alloys hysteresis loop and pseudoelastic behavior” [Z. Angew. Math. Phys. (ZAMP) 56 (2005), 304–356]
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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A reduction approach for determining generalized simple waves

Content Provider SpringerLink
Author Manganaro, Natale Fusco, Domenico
Copyright Year 2007
Abstract A reduction approach is developed in order to construct generalized simple wave solutions to quasilinear nonhomogenous hyperbolic systems of first order PDEs. The solutions sought must possess a special ansatz which permits time-evolution of the profile of a simple wave due to a source-like term. These solutions involve a free function which can be used to fit classes of initial or boundary value problems. By means of the proposed approach two governing models of interest in a variety of applications are investigated. Model constitutive laws consistent with the full reduction process are obtained and the occurence of singularities at a finite time for the resulting solutions is analysed. Furthermore a comparison is made between the results obtained within the present theoretical framework and the standard simple wave solutions of the corresponding homogeneous (source free) governing models.
Ending Page 75
Page Count 13
Starting Page 63
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 1
Volume Number 59
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2007-04-10
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword exact solutions Mathematical Methods in Physics First-order hyperbolic systems Simple wave nonlinear hyperbolic waves Overdetermined systems with variable coefficients Theoretical and Applied Mechanics
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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