3 papers
math.NA2021
Convergence of the boundary integral method for interfacial Stokes flow
David M. Ambrose, Michael Siegel, Keyang Zhang
Boundary integral numerical methods are among the most accurate methods for interfacial Stokes flow, and are widely applied. They have the advantage that only the boundary of the d…
nlin.PS2020
Collapse vs. blow up and global existence in the generalized Constantin-Lax-Majda equation
Pavel M. Lushnikov, Denis A. Silantyev, Michael Siegel
The question of finite time singularity formation vs. global existence for solutions to the generalized Constantin-Lax-Majda equation is studied, with particular emphasis on the in…
physics.flu-dyn2018
Deformation and stability of a viscous electrolyte drop in a uniform electric field
Qiming Wang, Manman Ma, Michael Siegel
We study the deformation and breakup of an axisymmetric electrolyte drop which is freely suspended in an infinite dielectric medium and subjected to an imposed electric field. The…