4 citations · 5 across the 4 of their papers we have counts for
4 papers
On the True Nature of Turbulence
Y. Charles Li
In this article, I would like to express some of my views on the nature of turbulence. These views are mainly drawn from the author's recent results on chaos in partial differentia…
Invariant Manifolds and Their Zero-Viscosity Limits for Navier-Stokes Equations
Y. Charles Li
First we prove a general spectral theorem for the linear Navier-Stokes (NS) operator in both 2D and 3D. The spectral theorem says that the spectrum consists of only eigenvalues whi…
Melnikov Analysis for Singularly Perturbed DSII Equation
Yanguang Charles Li
Rigorous Melnikov analysis is accomplished for Davey-Stewartson II equation under singular perturbation. Unstable fiber theorem and center-stable manifold theorem are established.…
Chaos in Partial Differential Equations
Yanguang Charles Li
This is a survey on Chaos in Partial Differential Equations. First we classify soliton equations into three categories: 1. (1+1)-dimensional soliton equations, 2. soliton lattices,…