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

Lorenzo Pareschi, Giovanni Russo, Giuseppe Toscani

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

3 Zitate (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.

Titel in Übersetzung	A kinetic approximation of Hele-Shaw flow
Originalsprache	Französisch
Seiten (von - bis)	177-182
Seitenumfang	6
Fachzeitschrift	Comptes Rendus Mathematique
Jahrgang	338
Ausgabenummer	2
DOIs	https://doi.org/10.1016/j.crma.2003.11.006
Publikationsstatus	Veröffentlicht - 15 Jan. 2004
Extern publiziert	Ja

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10.1016/j.crma.2003.11.006

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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",

month = jan,

day = "15",

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

language = "French",

volume = "338",

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T1 - Approximation cinétique des écoulements de Hele-Shaw

AU - Pareschi, Lorenzo

AU - Russo, Giovanni

AU - Toscani, Giuseppe

PY - 2004/1/15

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

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ER -

Approximation cinétique des écoulements de Hele-Shaw

Abstract

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