Spatial Decay Estimates for a Coupled System of Second-Order Quasilinear Partial Differential Equations Arising in Thermoelastic Finite Anti-plane Shear |
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| Authors: | CO Hogan LE Payne |
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| Institution: | (1) Institute of Applied Mathematics and Mechanics, University of Virginia, Charlottesville, VA 22903, USA;(2) Department of Mathematics, Cornell University, Ithaca, NY 14853, USA |
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| Abstract: | The spatial decay behavior of solutions of a coupled system of second-order quasilinear partial differential equations, in
divergence form, defined on a two-dimensional semi-infinite strip, is investigated. Such equations arise in the theory of
anti-plane shear deformations for isotropic nonlinearly thermoelastic solids. Differential inequality techniques are employed
to obtain exponential decay estimates. The results are illustrated by several examples. The results are relevant to Saint-Venant
principles for nonlinear thermoelasticity as well as to theorems of Phragmen-Lindelof type.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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| Keywords: | anti-plane shear nonlinearly thermoelastic solids spatial decay estimates couples system of second-order quasilinear partial differential equations |
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