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Dissipative waves in a relaxing gas exhibiting mixed nonlinearity

DSpace at IIT Bombay

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Field Value
 
Title Dissipative waves in a relaxing gas exhibiting mixed nonlinearity
 
Creator SHARMA, VD
MADHUMITA, G
MANICKAM, SAV
 
Subject equations
shock waves
relaxing gas
mixed nonlinearity
dissipation
 
Description We consider a weakly dissipative quasilinear system of PDEs, governing the unsteady one-dimensional motion of a relaxing gas, and investigate the effects of higher order terms and the source term, present in the differential system, on the wave motion associated with it. The undisturbed state of the medium, which is assumed to be uniform and at rest admits mixed nonlinearity, i.e., the quadratic nonlinearity parameter Gamma inherent in the system changes sign depending on the base state. The method of multiple scales is employed to determine the evolution equation governing small perturbations to the state where Gamma is of O(epsilon), and the effects of nonlinearity are noticeable over times of order O(epsilon(-2)).
 
Publisher KLUWER ACADEMIC PUBL
 
Date 2011-08-17T04:32:43Z
2011-12-26T12:55:21Z
2011-12-27T05:44:08Z
2011-08-17T04:32:43Z
2011-12-26T12:55:21Z
2011-12-27T05:44:08Z
2003
 
Type Article
 
Identifier NONLINEAR DYNAMICS, 33(3), 283-299
0924-090X
http://dx.doi.org/10.1023/A:1026065631948
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9746
http://hdl.handle.net/10054/9746
 
Language en