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Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension

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arxiv 2305.06180 v1 pith:ANMPBC6H submitted 2023-05-10 math.NA cs.NA

Ido Lavi , Nicolas Meunier , Olivier Pantz This is my paper · ORCID
classification math.NAcs.NA
keywords hele-shawone-phaseottoproblemsurfacetensionthreeapproaches
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In this work, we propose and compare three numerical methods to handle the one-phase Hele-Shaw problem with surface tension in dimension two by using three variational approaches in the spirit of the seminal works \cite{Otto, Gia_Otto}.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension

    math.AP 2025-01 reject novelty 5.0 of 10

    For a Darcy free-boundary cell motility model with membrane undercooling and surface tension, the paper claims traveling waves bifurcate from the unstable resting disk.

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