3 papers
math.AP2026
Similarity Solutions of Shock Formation for First-order Strictly Hyperbolic Systems
Jun Eshima, Luc Deike, Howard A. Stone
Shocks due to hyperbolic partial differential equations (PDEs) appear throughout mathematics and science. The canonical example is shock formation in the inviscid Burgers' equation…
physics.flu-dyn2026
Fast and slow surfactants in turbulence-driven bubble breakup
Zhan Wu, Tristan Aurégan, Luc Deike
When a large air cavity breaks in a turbulent flow, it goes through very large deformations and cascading events of new interface formation, including elongated filaments and bubbl…
physics.flu-dyn2025
Breakup cascade in gas filament
Aliénor Rivière, Zehua Liu, Jishen Zhang +3
Despite its importance in both geophysical and industrial contexts, the inertial fragmentation of gas filaments has received much less attention than their liquid counterparts. Yet…