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We nd it interesting that such a natural naive approach as we will describe actually works, and yields a desingularization with these nice properties.
Spatial pattern formation is a key feature of many natural systems in physics, chemistry and biology. The essential theoretical issue in understanding pattern formation is to explain how a spatially h...
We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metri...
Abstract: Consider transportation of one distribution of mass onto another, chosen to optimize the total expected cost, where cost per unit mass transported from x to y is given by a smooth function c...
We consider the Schr¨odinger map initial value problem ( ∂tϕ = ϕ × ϕ ϕ(x, 0) = ϕ0(x), with ϕ0 : R2 ! S2 ֒! R3 a smooth H1 Q map from the Euclidean space R2 ...
We consider nonlocal linear Schr¨odinger-type critical systems of the type 1/4v = v in IR. (1) where is antisymmetric potential in L2(IR, so(m)), v is a IRm valued map and v denotes the matrix mu...
We consider the Schr¨odinger Map equation in 2 + 1 dimensions, with values into S2. This admits a lowest energy steady state Q, namely the stereographic projection,which extends to a two dimensional f...

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