adaptive meshing

Tuesday, November 1, 2016 - 10:15am - 11:05am
Gideon Simpson (Drexel University)
Direct numerical simulation of an L2 supercritical variant of the derivative nonlinear Schrödinger equation suggests that there is a finite time singularity. Subsequent exploration with the dynamic rescaling method provided more detail about the blowup and a recent refined asymptotic analysis of the blowup solution gives predictions of the blowup rates. However, due to the mixed hyperbolic-dispersive nature of the equation, these methods have limited the proximity to the blowup time.
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