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A Nonexistence Result to a Cauchy Problem in Nonlinear One Dimensional Thermoelasticity
Journal article   Open access  Peer reviewed

A Nonexistence Result to a Cauchy Problem in Nonlinear One Dimensional Thermoelasticity

Mokhtar Kirane and Nasser-eddine Tatar
Journal of mathematical analysis and applications, Vol.254(1), pp.71-86
01/02/2001

Abstract

Considering the Cauchy problem for a nonlinear system arising in thermoelasticity, it is proved that its solution develops singularities in finite time depending on the size and regularity of the initial data. The present work is distinguished from a previous work by relaxing the requirements on the initial data and allowing for a slightly more general and nonautonomous forcing term besides permitting the insertion of gradient terms in both equations of the system.
url
https://doi.org/10.1006/jmaa.2000.7203View
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