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.

A kinetic approximation of Hele-Shaw flow

PARESCHI, Lorenzo;
2004

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.
2004
Pareschi, Lorenzo; Russo, G; Toscani, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1207303
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