Year: 2009
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 42–56
Abstract
In this paper, we establish the existence of traveling wave solutions to the nonlinear three-dimensional viscoelastic system exhibiting long range memory. Under certain hypotheses, if the speed of propagation is between the speeds determined by the equilibrium and instantaneous elastic tensors, then the system has nontrivial traveling wave solutions. Moreover, the system has only trivial traveling wave solution in some cases.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-JPDE-5246
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 42–56
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Nonlinear viscoelastic system