A kinetic approximation of Hele–Shaw flow

详细信息    查看全文

• 作者：Pareschi ; Lorenzo ; Russo ; Giovanni ; Toscani ; Giuseppe
• 刊名：Comptes Rendus Mathematique
• 出版年：2004
• 出版时间：January 15, 2004
• 年：2004
• 卷：338
• 期：2
• 页码：177-182
• 全文大小：106 K

文摘

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. To cite this article: L. Pareschi et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004).