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Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction

URN to cite this document: urn:nbn:de:bvb:355-opus-6471

Kusche, Tobias (2006) Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction. PhD, Universität Regensburg

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Abstract (English)

The asymptotic behavior of the vector-valued Allen-Cahn equation was studied by Bronsard and Reitich via formal asymptotic expansion. This leads to vector-valued differential operators, a Sturm-Liouville operator and a Schrödinger operator. The potentials are given by a rescaled statinoary solution with triple-junction. The work investigates the spectrum of the operators in dependence of the ...

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Translation of the abstract (German)

Die Frage nach dem asymptotischen Verhalten der vektorwertigen Allen-Cahn-Gleichung wurde von Bronsard und Reitich mit Hilfe formal asymptotischer Entwicklung untersucht. Dies führt auf zwei vektorwertige Differenzialoperatoren, einen Strum-Liouville-Operator und einen Schrödingeroperator, deren Potenziale durch eine reskalierte stationäre Lösung mit Tripelpunkt gegeben sind. Die Arbeit ...

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Item Type:Thesis of the University of Regensburg (PhD)
Date:10 April 2006
Referee:Harald ( Prof. Dr. ) Garcke
Date of exam:17 March 2006
Institutions:Mathematics > Prof. Dr. Harald Garcke
Keywords:Stationäre Lösung , Spektralanalyse , Phasenfeldmodell , Sturm-Liouville-Operator , Allen-Cahn-Gleichung , Tripelpunkt , Spektralanalysis , Allen-Cahn equation , stationary solution , triple-junction , spectral analysis
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:27 Oct 2009 07:44
Last Modified:13 Mar 2014 11:38
Item ID:10427
Owner Only: item control page

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