A system of equations for magnetoelastic plates
| dc.contributor.author | Ochoa Quintanilla, Sara Asuncion | deu |
| dc.date.accessioned | 2011-03-22T17:45:23Z | deu |
| dc.date.available | 2011-03-22T17:45:23Z | deu |
| dc.date.issued | 2004 | deu |
| dc.description.abstract | In this work we are going to study a magnetoelastic plate system which is the result of a coupling between the plate system modelling vibrations of elastic waves in a thin plate and a parabolic equation for the magnetical field. At first we find the system and then we analyse him in two parts. We analyse first the linear system and then the nonlinear system. For the linear system we have found existence and uniqueness of solutions, where we work with Galerkin method and with Semigroup theory. And we analyse the asymptotical behaviour of the solutions. For the nonlinear system we have used the Galerkin method to find a solution, the existence of solutions was proved only for small data. | eng |
| dc.description.version | published | |
| dc.format.mimetype | application/pdf | deu |
| dc.identifier.ppn | 113125879 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/654 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2004 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject | magnetoelastischeplattensystem | deu |
| dc.subject | linear und nichtlinear magnetoelastischesplattensystem | deu |
| dc.subject | Magnetoelastische Plattengleichung | deu |
| dc.subject | Plattensystem | deu |
| dc.subject | magnetoelastic plates | deu |
| dc.subject | linear and nonlinear magnetoelastic plates | deu |
| dc.subject | magnetoelastic plates system | deu |
| dc.subject.ddc | 510 | deu |
| dc.subject.gnd | Nichtlineare partielle Differentialgleichung | deu |
| dc.subject.gnd | Nichtlineare magnetische Anregung | deu |
| dc.subject.gnd | Nichtlineare Evolutionsgleichung | deu |
| dc.subject.gnd | Elastische Platte | deu |
| dc.title | A system of equations for magnetoelastic plates | eng |
| dc.title.alternative | Ein magnetoelastisches Platten-Gleichungssystem | deu |
| dc.type | DOCTORAL_THESIS | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @phdthesis{OchoaQuintanilla2004syste-654,
year={2004},
title={A system of equations for magnetoelastic plates},
author={Ochoa Quintanilla, Sara Asuncion},
address={Konstanz},
school={Universität Konstanz}
} | |
| kops.citation.iso690 | OCHOA QUINTANILLA, Sara Asuncion, 2004. A system of equations for magnetoelastic plates [Dissertation]. Konstanz: University of Konstanz | deu |
| kops.citation.iso690 | OCHOA QUINTANILLA, Sara Asuncion, 2004. A system of equations for magnetoelastic plates [Dissertation]. Konstanz: University of Konstanz | eng |
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| kops.date.examination | 2004-02-12 | deu |
| kops.description.abstract | Diese Arbeit beschäftigt sich mit dem magnetoelastischen Plattensystem,<br />das bei Vorhandensein eines magnetischen Feldes Schwingungen elastischer<br />Wellen in einer dünnen Platte modelliert. So gesehen ist dieses System<br />eine Kopplung zwischen dem Plattensystem und einem magnetischen Feld.<br /><br />Zuerst finden wir das System heraus und danach analysieren es wir in zwei<br />Schritten. Der erste Teil der Analyse behandelt das lineare System,<br />für das wir mit zwei Methoden beweisen (Galerkin-Methode und Halbgruppentheorie),<br />dass eine eindeutige Lösung<br />existiert. Danach wollen wir etwas über das asymptotische Verhalten der<br />Lösung herauskriegen.<br />Im zweiten Teil der Analyse arbeiten wir mit dem Nichtlinearen System,<br />wobei wir mittels der Galerkin-Methode die Existenz der Lösung für<br />kleine Daten beweisen. | deu |
| kops.description.openAccess | openaccessgreen | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-opus-13092 | deu |
| kops.opus.id | 1309 | deu |
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