Article ID Journal Published Year Pages File Type
799315 Mechanics Research Communications 2009 9 Pages PDF
Abstract
In this paper, we study the qualitative behavior of a fifth order scalar partial differential equation arising in the framework of the small amplitude motion approximation for pre-stressed non-linear viscoelastic materials of first grade. We establish existence, uniqueness, regularity and exponential decay of the solutions. Moreover, we study the role of the various constitutive inequalities in the stability and instability of the solutions.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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