Exact Controllability of a Semilinear Thermoelastic System with Control Solely in Thermal Equation |
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| Authors: | Nutan Kumar Tomar N Sukavanam |
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| Institution: | 1. Department of Mathematics , Indian Institute of Technology Roorkee , Roorkee, India chinidma@iitr.ernet.in;4. chinidma@gmail.com;5. Department of Mathematics , Indian Institute of Technology Roorkee , Roorkee, India |
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| Abstract: | A result concerning the exact controllability of a semilinear thermoelastic system, in which the control term occurs solely in the thermal equation, is derived under the influence of rotational inertia and Lipschitz nonlinearity, subject to the clamped/Dirichlet boundary conditions. In the proof, we make use of the result given by Avalos (Differential and Integral Equations, 2000; 13(4–6):613–630), which states that the corresponding linear system is exact controllable. |
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| Keywords: | Exact controllability Semilinear thermoelastic system |
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