A kinetic approximation of Hele-Shaw flow

Lorenzo Pareschi; Giovanni Russo; Giuseppe Toscani

doi:10.1016/j.crma.2003.11.006

A kinetic approximation of Hele-Shaw flow

Lorenzo Pareschi^*
, Giovanni Russo
, Giuseppe Toscani

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this Note we consider a fourth order degenerate parabolic equation modeling the evolution of the interface of a spreading droplet. The equation is approximated trough a collisional kinetic equation. This permits to derive numerical approximations that preserves positivity of the solution and the main relevant physical properties. A Monte Carlo application is also shown.

Original language	English
Pages (from-to)	177-182
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	338
Issue number	2
DOIs	https://doi.org/10.1016/j.crma.2003.11.006
Publication status	Published - 15 Jan 2004

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2003.11.006

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title = "A kinetic approximation of Hele-Shaw flow",

abstract = "In this Note we consider a fourth order degenerate parabolic equation modeling the evolution of the interface of a spreading droplet. The equation is approximated trough a collisional kinetic equation. This permits to derive numerical approximations that preserves positivity of the solution and the main relevant physical properties. A Monte Carlo application is also shown.",

author = "Lorenzo Pareschi and Giovanni Russo and Giuseppe Toscani",

year = "2004",

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T1 - A kinetic approximation of Hele-Shaw flow

AU - Pareschi, Lorenzo

AU - Russo, Giovanni

AU - Toscani, Giuseppe

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Y1 - 2004/1/15

N2 - In this Note we consider a fourth order degenerate parabolic equation modeling the evolution of the interface of a spreading droplet. The equation is approximated trough a collisional kinetic equation. This permits to derive numerical approximations that preserves positivity of the solution and the main relevant physical properties. A Monte Carlo application is also shown.

AB - In this Note we consider a fourth order degenerate parabolic equation modeling the evolution of the interface of a spreading droplet. The equation is approximated trough a collisional kinetic equation. This permits to derive numerical approximations that preserves positivity of the solution and the main relevant physical properties. A Monte Carlo application is also shown.

UR - https://www.scopus.com/pages/publications/0742324351

U2 - 10.1016/j.crma.2003.11.006

DO - 10.1016/j.crma.2003.11.006

M3 - Article

AN - SCOPUS:0742324351

SN - 1631-073X

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EP - 182

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 2

ER -

A kinetic approximation of Hele-Shaw flow

Abstract

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