EUDML | Moving mesh for the axisymmetric harmonic map flow

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Displaying similar documents to “Moving mesh for the axisymmetric harmonic map flow”

Moving mesh for the axisymmetric harmonic map flow

Benoit Merlet, Morgan Pierre (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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We build corotational symmetric solutions to the harmonic map flow from the unit disc into the unit sphere which have constant degree. First, we prove the existence of such solutions, using a time semi-discrete scheme based on the idea that the harmonic map flow is the $L^{2}$ -gradient of the relaxed Dirichlet energy. We prove a partial uniqueness result concerning these solutions. Then, we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularity...

$m$ -harmonic flow

Norbert Hungerbühler (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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$f$ -harmonic maps which map the boundary of the domain to one point in the target.

Course, Neil (2007)

The New York Journal of Mathematics [electronic only]

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Some examples in harmonic analysis

B. Johnson (1973)

Studia Mathematica

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Eiderman, Vladimir, Essén, Matts (1996)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Harmonic functions on Alexandrov spaces and their applications.

Petrunin, Anton (2003)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Non-closed thin sets in harmonic analysis

S. Hartman (1975)

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On higher gradients of harmonic functions

A. Calderón, A. Zygmund (1964)

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S. Simić (1979)

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Harmonic map Heat Flow for axially symmetric Data.

Joseph F. Grotowski (1991)

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