Communications in Mathematical Sciences
- Commun. Math. Sci.
- Volume 4, Number 1 (2006), 267-273.
Fast communication: Diffusive slowdown in miscible viscous fingering
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.
Commun. Math. Sci., Volume 4, Number 1 (2006), 267-273.
First available in Project Euclid: 24 April 2006
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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