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Self-similarity in chemotaxis systems

100%

Naito Y. , Suzuki T.

Colloquium Mathematicum

2008

tom 111

nr 1

11-34

We consider a system which describes the scaling limit of several chemotaxis systems. We focus on self-similarity, and review some recent results on forward and backward self-similar solutions to the system.

A blowup analysis of the mean field equation for arbitrarily signed vortices

100%

Ohtsuka H. , Suzuki T.

Banach Center Publications

2006

tom 74

nr 1

185-197

We study the noncompact solution sequences to the mean field equation for arbitrarily signed vortices and observe the quantization of the mass of concentration, using the rescaling argument.

Non-local Gel'fand problem in higher dimensions

100%

Miyasita T. , Suzuki T.

Banach Center Publications

2004

tom 66

nr 1

221-235

The non-local Gel'fand problem, $Δv + λe^v/∫_{Ω} e^vdx = 0$ with Dirichlet boundary condition, is studied on an n-dimensional bounded domain Ω. If it is star-shaped, then we have an upper bound of λ for the existence of the solution. We also have infinitely many bendings in λ of the connected component of the solution set in λ,v if Ω is a ball and 3 ≤ n ≤ 9.

Non-topological condensates in self-dual Chern-Simons gauge theory

100%

Suzuki T. , Takahashi F.

Banach Center Publications

2004

tom 66

nr 1

317-336

This note is concerned with the recent paper "Non-topological N-vortex condensates for the self-dual Chern-Simons theory" by M. Nolasco. Modifying her arguments and statements, we show that the existence of "non-topological" multi-vortex condensates follows when the number of prescribed vortex points is greater than or equal to 2.