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math.AP2012★ 6 cited
On Nonlocal Gross-Pitaevskii Equations with Periodic Potentials
Christopher W. Curtis
The Gross-Pitaevskii equation is a widely used model in physics, in particular in the context of Bose-Einstein condensates. However, it only takes into account local interactions b…
math.AP2012★ 10 cited
Propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion
Christopher W. Curtis, David M. Bortz
The propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion coefficients is studied. Using coordinate changes, WKB approximations, and multiple sca…