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Gaussian beams and mountain waves.

Gaussian beams are powerful asymptotic methods which are able to yield uniform asymptotic solutions for hyperbolic partial differential equations and Schrodinger's equations in quantum mechanics.

-Jianliang Qian

2D Vortex Crystal Formation.

In this work we used advanced fully Lagrangian methods to study the 2D Vortex dynamics of 6 strong vortex blobs in the presence of a week background patch of vorticity, all with the same sign. More...

-Andrew Christlieb

Picture of phase separation in membranes

Phase separation in polymer electrolyte membranes.

The nanoscale modeling of pore formation and ionic transport in polymer electrlolyte membranes includes minimization of energy functionals and fourth and sixth order nonlocal PDEs.

-Keith Promislow