Abstract
We show that singularities developed in the Hele-Shaw problem have a structure identical to shock waves in dissipativeless dispersive media. We propose an experimental setup where the cell is permeable to a nonviscous fluid and study continuation of the flow through singularities. We show that a singular flow in this nontraditional cell is described by the Whitham equations identical to Gurevich-Pitaevski solution for a regularization of shock waves in Kortevegâ€"de Vriez equation. This solution describes regularization of singularities through creation of disconnected bubbles.
Original language | English |
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Article number | 244504 |
Journal | Physical Review Letters |
Volume | 95 |
Issue number | 24 |
DOIs | |
State | Published - 9 Dec 2005 |
Externally published | Yes |