12 citations · 15 across the 3 of their papers we have counts for
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Self-similar asymptotics for a class of Hele-Shaw flows driven solely by surface tension
Baruch Meerson, Pavel V. Sasorov, Arkady Vilenkin
We investigate the dynamics of relaxation, by surface tension, of a family of curved interfaces between an inviscid and viscous fluids in a Hele-Shaw cell. At t=0 the interface is…
Self-similar relaxation dynamics of a fluid wedge in a Hele-Shaw cell
Omri Gat, Baruch Meerson, Arkady Vilenkin
Let the interface between two immiscible fluids in a Hele-Shaw cell have, at t=0, a wedge shape. As a wedge is scale-free, the fluid relaxation dynamics are self-similar. We find t…
Scaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell
Arkady Vilenkin, Baruch Meerson, Pavel V. Sasorov
We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analy…