176 citations · 768 across the 86 of their papers we have counts for
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Existence and Stability Properties of Radial Bound States for Schrödinger-Poisson with an External Coulomb Potential in Three Space Dimensions
Sarah Raynor, Jeremy L. Marzuola, Gideon Simpson
We consider radial solutions to the Schrödinger-Poisson system in three dimensions with an external smooth potential with Coulomb-like decay. Such a system can be viewed as a model…
Gross-Pitaevskii vortex motion with critically-scaled inhomogeneities
Matthias Kurzke, Jeremy L. Marzuola, Daniel Spirn
We study the dynamics of vortices in an inhomogeneous Gross-Pitaevskii equation . For a unique scaling re…
Ground state on the dumbbell graph
Jeremy L. Marzuola, Dmitry E. Pelinovsky
We consider standing waves in the focusing nonlinear Schrödinger (NLS) equation on a dumbbell graph (two rings attached to a central line segment subject to the Kirchhoff boundary…
Euler Equation on a Rotating Surface
Michael Taylor, Jeremy L. Marzuola
We study 2D Euler equations on a rotating surface, subject to the effect of the Coriolis force, with an emphasis on surfaces of revolution. We bring in conservation laws that yield…
Manifold decompositions and indices of Schrödinger operators
Graham Cox, Christoper K. R. T. Jones, Jeremy L. Marzuola
The Maslov index is used to compute the spectra of different boundary value problems for Schrödinger operators on compact manifolds. The main result is a spectral decomposition for…
-bounds on spectral clusters associated to polygonal domains
Matthew D. Blair, G. Austin Ford, Jeremy L. Marzuola
We look at the bounds on eigenfunctions for polygonal domains (or more generally Euclidean surfaces with conic singularities) by analysis of the wave operator on the flat Euc…