Exact Controllability of a Semilinear Thermoelastic System

Nandakumaran, AK and George, Raju K (2004) Exact Controllability of a Semilinear Thermoelastic System. In: Numerical Functional Analysis and Optimization, 25 (3 - 4). pp. 271-285.

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Abstract

In this paper, we obtain the exact controllability of a semi-linear thermo-elastic system described by the partial differential equations: $ \omega_t_t - \gamma\triangle \omega_t_t + \Delta(2)\omega + \alpha\Delta\theta + f(\theta)= 0 in \Omega_T$ $ \theta_t - \Delta\theta + \sigma\theta -\alpha\Delta\omega_t + g(\omega) = u in \Omega_T$ with Dirichlet boundary conditions when the Lipschitz constants of the non-linearities f and g are small.

Item Type:	Journal Article
Publication:	Numerical Functional Analysis and Optimization
Publisher:	Taylor and Francis Group
Additional Information:	The copyright of this article belongs to Taylor and Francis Group.
Keywords:	Exact controllability;Thermo-elastic system;Fixed point theorem
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	19 Nov 2004
Last Modified:	16 Jan 2012 10:19
URI:	http://eprints.iisc.ac.in/id/eprint/2181

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