176 citations · 768 across the 86 of their papers we have counts for
5 papers · 2 filters
Edge-localized states on quantum graphs in the limit of large mass
Gregory Berkolaiko, Jeremy L. Marzuola, Dmitry E. Pelinovsky
In this work, we construct and quantify asymptotically in the limit of large mass a variety of edge-localized stationary states of the focusing nonlinear Schrödinger equation on a…
The radiation field on product cones
Dean Baskin, Jeremy L. Marzuola
We consider the wave equation on a product cone and find a joint asymptotic expansion for solutions near null and future infinities. The rates of decay seen in the expansion at fut…
Nodal line estimates for the second Dirichlet eigenfunction
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study the nodal curves of low energy Dirichlet eigenfunctions in generalized curvilinear quadrilaterals. The techniques can be seen as a generalization of the tools developed by…
Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects
Yuan Gao, Jian-Guo Liu, Jianfeng Lu +1
We study a th order PDE with a nd order correction that is a modification of one suggested by Peter Smereka using the tools of Krug et al (Z. Phys. B., 1994). First, we provi…
Nonnegative Weak Solutions of Thin Film Equations Related to Viscous Flows in Cylindrical Geometries
Jeremy L. Marzuola, Sterling Swygert, Roman Taranets
Motivated by models for thin films coating cylinders in two physical cases proposed by V.I. Kerchman and A.L. Frenkel, we analyze the dynamics of corresponding thin film models. Th…