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Traveling Wave Solutions to the Three-Dimensional Nonlinear Viscoelastic System

Traveling Wave Solutions to the Three-Dimensional Nonlinear Viscoelastic System
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摘要 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 trav- eling wave solutions. Moreover, the system has only trivial traveling wave solution in some cases.
作者 CHEN Aihua
出处 《Journal of Partial Differential Equations》 2009年第1期42-56,共15页 偏微分方程(英文版)
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