Communications in Mathematical Sciences

Fast communication: Diffusive slowdown in miscible viscous fingering

Govind Menon and Felix Otto

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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.

Article information

Source
Commun. Math. Sci., Volume 4, Number 1 (2006), 267-273.

Dates
First available in Project Euclid: 24 April 2006

Permanent link to this document
https://projecteuclid.org/euclid.cms/1145905946

Mathematical Reviews number (MathSciNet)
MR2204087

Zentralblatt MATH identifier
1184.35260

Citation

Menon, Govind; Otto, Felix. Fast communication: Diffusive slowdown in miscible viscous fingering. Commun. Math. Sci. 4 (2006), no. 1, 267--273. https://projecteuclid.org/euclid.cms/1145905946


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