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Competitively Coupled Maps and Spatial Pattern Formation
Competitively Coupled Maps Spatial Pattern Formation
2012/4/26
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...
erbolic Schrödinger map and non-elliptic derivative Schrödinger equation in two spatial dimensions
Hyperbolic Schr¨odinger map Derivative Schr¨odinger equation Gabor frame
2011/1/17
Using the Gabor frame, we get some time-global dispersive estimates for the Schr¨odinger semi-group in anisotropic Lebesgue spaces, which include a time-global maximal function estimate in the space L...
Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions
equivariant Schroedinger Maps two spatial dimensions
2010/12/1
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...