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

100%
Suzuki T., Takahashi F.
Banach Center Publications
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2004
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tom 66
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nr 1
317-336
EN
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.
2
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Non-local Gel'fand problem in higher dimensions

100%
Miyasita T., Suzuki T.
Banach Center Publications
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2004
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tom 66
|
nr 1
221-235
EN
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.
3
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Self-similarity in chemotaxis systems

100%
Naito Y., Suzuki T.
Colloquium Mathematicum
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2008
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tom 111
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nr 1
11-34
EN
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.
4
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A blowup analysis of the mean field equation for arbitrarily signed vortices

100%
Ohtsuka H., Suzuki T.
Banach Center Publications
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2006
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tom 74
|
nr 1
185-197
EN
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.
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