Communications in Mathematical Sciences
Volume 4 (2006)
Diffusive slowdown in miscible viscous fingering
Pages: 267 – 273
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.