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Unstable fingering patterns of Hele-Shaw flows as a dispersionless limit of the Kortweg-de vries hierarchy.

Physical review letters

Teodorescu R, Wiegmann P, Zabrodin A.
PMID: 16090814
Phys Rev Lett. 2005 Jul 22;95(4):044502. doi: 10.1103/PhysRevLett.95.044502. Epub 2005 Jul 18.

We show that unstable fingering patterns of two-dimensional flows of viscous fluids with open boundary are described by a dispersionless limit of the Korteweg-de Vries hierarchy. In this framework, the fingering instability is linked to a known instability leading...

Showing 1 to 1 of 1 entries