Advanced Studies in Pure Mathematics

A numerical scheme for the Hele-Shaw flow with a time-dependent gap by a curvature adjusted method

Shigetoshi Yazaki

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Abstract

We will sketch a curvature adjusted method for a moving plane curves and apply it to the Hele-Shaw flow in a time-dependent gap together with the boundary element method.

Article information

Source
Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 253-261

Dates
Received: 1 February 2012
Revised: 4 March 2013
First available in Project Euclid: 30 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1540934221

Digital Object Identifier
doi:10.2969/aspm/06410253

Mathematical Reviews number (MathSciNet)
MR3381210

Zentralblatt MATH identifier
06556946

Subjects
Primary: 76D27: Other free-boundary flows; Hele-Shaw flows 35R37: Moving boundary problems 65M38: Boundary element methods 76M15: Boundary element methods

Keywords
Moving tracking method non-trivial tangential velocity Hele-Shaw flow curvature adjusted method boundary element method

Citation

Yazaki, Shigetoshi. A numerical scheme for the Hele-Shaw flow with a time-dependent gap by a curvature adjusted method. Nonlinear Dynamics in Partial Differential Equations, 253--261, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06410253. https://projecteuclid.org/euclid.aspm/1540934221


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