32 citations · 79 across the 7 of their papers we have counts for
7 papers
Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: The real line vs. periodic domains
David M. Ambrose, Pavel M. Lushnikov, Michael Siegel +1
The question of global existence versus finite-time singularity formation is considered for the generalized Constantin-Lax-Majda equation with dissipation , where $\widehat {…
A model for the electric field-driven deformation of a drop or vesicle in strong electrolyte solutions
Manman Ma, Michael R. Booty, Michael Siegel
A model is constructed to describe the arbitrary deformation of a drop or vesicle that contains and is embedded in an electrolyte solution, where the deformation is caused by an ap…
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…
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…
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…
Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow
Sara Pålsson, Michael Siegel, Anna-Karin Tornberg
Performing highly accurate simulations of droplet systems is a challenging problem. This is primarily due to the interface dynamics which is complicated further by the addition of…
A local target specific quadrature by expansion method for evaluation of layer potentials in 3D
Michael Siegel, Anna-Karin Tornberg
Accurate evaluation of layer potentials is crucial when boundary integral equation methods are used to solve partial differential equations. Quadrature by expansion (QBX) is a rece…