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math.AP2011
Global well-posedness and scattering for Skyrme wave maps
Dan-Andrei Geba, Kenji Nakanishi, Sarada G. Rajeev
We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov space…
math.AP2011★ 2 cited
On the regularity of the 2+1 dimensional Skyrme model
Dan-Andrei Geba, Daniel da Silva
One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2+1 dimensional equivariant S…
math.AP2008
Gradient NLW on curved background in 4+1 dimensions
Dan-Andrei Geba, Daniel Tataru
We obtain a sharp local well-posedness result for the Gradient Nonlinear Wave Equation on a nonsmooth curved background. In the process we introduce variable coefficient versions o…