203 citations · 3.9k across the 153 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…
Experimental Study of Parametric Autoresonance in Faraday Waves
Oded Ben-David, Michael Assaf, Jay Fineberg +1
The excitation of large amplitude nonlinear waves is achieved via parametric autoresonance of Faraday waves. We experimentally demonstrate that phase locking to low amplitude drivi…
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…
Parametric Autoresonance in Faraday waves
Michael Assaf, Baruch Meerson
We develop a theory of parametric excitation of weakly nonlinear standing gravity waves in a tank, which is under vertical vibrations with a slowly time-dependent ("chirped") vibra…
Vorticity Generation in Slow Cooling Flows
Ami Glasner, Eli Livne, Baruch Meerson
We show that any generic non-adiabatic slow flow of ideal compressible fluid develops a significant vorticity. As an example, an initially irrotational conductive cooling flow is c…