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.

PDF
Exact_Controllability.pdf - Published Version Restricted to Registered users only Download (208kB) | Request a copy |

Official URL: http://www.tandfonline.com/doi/abs/10.1081/NFA-120...

## 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 |
---|---|

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 |

Depositing User: | Ravi V Nandhan |

Date Deposited: | 19 Nov 2004 |

Last Modified: | 16 Jan 2012 10:19 |

URI: | http://eprints.iisc.ac.in/id/eprint/2181 |

### Actions (login required)

View Item |