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ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University.166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30

Nonlinear functional analysis --- Nonlinear mechanics --- Topological dynamics --- Dynamics, Topological --- Differentiable dynamical systems --- Analyse fonctionnelle non linéaire --- Mécanique non linéaire --- Dynamique topologique --- Nonlinear functional analysis - Congresses --- Nonlinear mechanics - Congresses --- Topological dynamics - Congresses --- Analyse fonctionnelle non linéaire - Congrès --- Mécanique non linéaire - Congrès --- Dynamique topologique - Congrès

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Manifolds (Mathematics) --- Sobolev spaces. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Spaces, Sobolev --- Function spaces --- Geometry, Differential --- Topology --- Espais de Sobolev --- Espais funcionals

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The Ginzburg-Landau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear. The remarkable progress in the mathematical understanding of this equation involves a combined use of mathematical tools from many branches of mathematics. The Ginzburg-Landau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas.

Singularities (Mathematics) --- Mathematical physics. --- Superconductors --- Superfluidity --- Differential equations, Nonlinear --- Numerical analysis --- Condensed degenerate gases --- Degenerate gases, Condensed --- Superfluids --- Liquid helium --- Low temperatures --- Quantum statistics --- Superconductivity --- Superconducting materials --- Superconductive devices --- Cryoelectronics --- Electronics --- Solid state electronics --- Physical mathematics --- Physics --- Geometry, Algebraic --- Mathematics. --- Numerical solutions. --- Materials --- Mathematics