The Mathematical Setting: A Survey of the Main Theorems

Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 67)

Abstract

This book contains results in three directions: the Thomas-Fermi regime or small ε problem, where there is a bounded number of vortices in the system (Chapters 3, 4, 6); the fast-rotation regime, which displays a vortex lattice (Chapter 5); and the experiment of a superfluid flow around an obstacle (Chapter 7). The tools and techniques needed to address these problems are very different: energy expansion using a small parameter for the Thomas-Fermi regime; double-scale convergence, homogenization techniques, and Fock-Bargmann space for the fast-rotating regime; energy estimates and nondegeneracy of a solution for the superfluid flow. The main mathematical results are summarized in the present chapter.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2006

Personalised recommendations