Publication:
Nonlinear Damped Wave Equation Arising in Viscoelastic Fluid Flows

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Date

2007

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Publisher

Pergamon-Elsevier Science Ltd

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Abstract

We consider the nonlinear damped wave equation arising in unsteady Poiseuille flow of shear thinning Maxwell fluid. We show the global existence of the smooth solution to the corresponding nonlinear system. We also give some numerical examples. © 2006 Elsevier Ltd. All rights reserved.

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Keywords

Finite Difference, Global Existence, Nonlinear Wave Equation, Shear-Thinning Maxwell Model

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Source

Applied Mathematics Letters

Volume

20

Issue

4

Start Page

396

End Page

400

URI

https://doi.org/10.1016/j.aml.2006.04.023

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