On the Existence of Symmetric Three Dimensional Finger Solutions

Jianzhong Su and Bao Loc Tran
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Jianzhong Su: The University of Texas at Arlington, Department of Mathematics
Bao Loc Tran: The University of Texas at Arlington, Department of Mathematics

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 309-321 from Springer

Abstract: Abstract In this note, the existence problem of symmetric 3-dimenensional finger solutions of Mullins-Sekerka equation is studied. The finger solutions are traveling wave solutions whose finger-shaped interfaces are moving along a certain direction at a constant speed within a cylindrical domain. The existence of finger solutions is shown through a fixed point argument of the Hilbert Transformation.

Keywords: Travel Wave Solution; Hilbert Transformation; Small Surface Tension; Constant Speed Versus; Zero Surface Tension (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_22

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DOI: 10.1007/978-1-4615-0113-8_22

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