Approximation cinétique des écoulements de Hele-Shaw

Lorenzo Pareschi; Giovanni Russo; Giuseppe Toscani

doi:10.1016/j.crma.2003.11.006

Approximation cinétique des écoulements de Hele-Shaw

Translated title of the contribution: A kinetic approximation of Hele-Shaw flow

Lorenzo Pareschi, Giovanni Russo, Giuseppe Toscani

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

3 Scopus citations

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.

Translated title of the contribution	A kinetic approximation of Hele-Shaw flow
Original language	French
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
State	Published - 15 Jan 2004
Externally published	Yes

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title = "Approximation cin{\'e}tique des {\'e}coulements de Hele-Shaw",

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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doi = "10.1016/j.crma.2003.11.006",

language = "French",

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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.

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U2 - 10.1016/j.crma.2003.11.006

DO - 10.1016/j.crma.2003.11.006

M3 - Article

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 2

ER -

Approximation cinétique des écoulements de Hele-Shaw

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