A system of equations for magnetoelastic plates

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OCHOA QUINTANILLA, Sara Asuncion, 2004. A system of equations for magnetoelastic plates [Dissertation]. Konstanz: University of Konstanz

@phdthesis{OchoaQuintanilla2004syste-654, title={A system of equations for magnetoelastic plates}, year={2004}, author={Ochoa Quintanilla, Sara Asuncion}, address={Konstanz}, school={Universität Konstanz} }

2011-03-22T17:45:23Z 2011-03-22T17:45:23Z terms-of-use Ein magnetoelastisches Platten-Gleichungssystem 2004 Ochoa Quintanilla, Sara Asuncion eng In this work we are going to study a magnetoelastic plate system which is the<br />result of a coupling between the plate system modelling vibrations of elastic<br />waves in a thin plate and a parabolic equation for the magnetical field.<br /><br />At first we find the system and then we analyse him in two parts. We analyse<br />first the linear system and then the nonlinear system.<br /><br />For the linear system we have found existence and uniqueness of solutions, where<br />we work with Galerkin method and with Semigroup theory. And we analyse the<br />asymptotical behaviour of the solutions.<br /><br />For the nonlinear system we have used the Galerkin method to find a solution,<br />the existence of solutions was proved only for small data. application/pdf Ochoa Quintanilla, Sara Asuncion A system of equations for magnetoelastic plates

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