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The Case of a Bounded Number of Vortices

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 70)

Abstract

In this chapter, we prove upper bound and lower bound estimates for configurations with a number of vortices bounded as ε → 0 which reduces to considering a number of vortices independent of ε. These estimates will be useful in the next chapter. The fact that the number of vortices is bounded independently of ε allows us to obtain much more precise information with specific techniques: the upper and lower bounds will match up to an error which is o(1) as ε → 0.

Keywords

Complex Number Variable Yield Precise Information Schwarz Inequality Radial Solution 
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Copyright information

© Birkhäuser Boston 2007

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