Description
Book SynopsisThe aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.The topics discussed in this proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems.
Table of ContentsA Spectral Theory of Linear Operators on Rigged Hilbert Spaces under Certain Analyticity Conditions (H Chiba); Computer-assisted Uniqueness Proof for Stokes' Wave of Extreme Form (K Kobayashi); The Spreading of a New Species with Free Boundaries (X Liu and B Lou); The Nonlinear "Hot Spots" Conjecture in Balls of S2 and H2 (Y Miyamoto); Averaged Properties along Unstable Periodic Orbits of the Kuramoto - Sivashinsky Equation (Y Saiki and M Yamada); Action Minimizing Periodic Solutions in the N-Body Problem (M Shibayama); Mathematical Modelling and Analysis of Droplet Motion on Obstacles (K Svadlenka); Introduction to Varifold and Its Curvature Flow (Y Tonegawa); Weak KAM Theory in Time-Periodic Lagrangian System (K-Z Wang and J Yan); KP Approximation to the 3-D Water Wave Equations with Surface Tension (M Ming, P Zhang and Z-F Zhang); and other papers.
