Communications in Mathematical Sciences

Volume 4 (2006)

Number 1

Diffusive slowdown in miscible viscous fingering

Pages: 267 – 273

(Fast Communication)

DOI: http://dx.doi.org/10.4310/CMS.2006.v4.n1.a11

Authors

Govind Menon

Felix Otto

Abstract

We prove a refined upper bound on the size of the mixing layer in a simplified model of gravity driven miscible fingering that quantifies diffusive slowdown. Mathematically, the system we study is a multi-dimensional system of conservation laws that admits an exact one-dimensional closure for which the Lax entropy condition is not physically appropriate.

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