67 citations · 118 across the 31 of their papers we have counts for
37 papers
The PAT model of population dynamics
Z. C. Feng, Y. Charles Li
We introduce a population-age-time (PAT) model which describes the temporal evolution of the population distribution in age. The surprising result is that the qualitative nature of…
Enrichment paradox and applications
Z. C. Feng, Y. Charles Li
We introduced a more general predator-prey model to analyze the paradox of enrichment. We hope the results obtained for the model can guide us on identifying real field paradox of…
Infinite norm of the derivative of the solution operator of Euler equations
Y. Charles Li
Through a simple and elegant argument, we prove that the norm of the derivative of the solution operator of Euler equations posed in the Sobolev space , along any base solutio…
Dependence upon initial conditions
Y. Charles Li
This article discusses dependence on initial conditions in natural and social sciences with focus on physical science. The main focus is on the newly discovered rough dependence on…
Novel discoveries on the mathematical foundation of linear hydrodynamic stability theory
Y. Charles Li
We present some new discoveries on the mathematical foundation of linear hydrodynamic stability theory. The new discoveries are: 1. Linearized Euler equations fail to provide a lin…
Short term unpredictability of high Reynolds number turbulence --- rough dependence on initial data
Z. C. Feng, Y. Charles Li
Short term unpredictability is discovered numerically for high Reynolds number fluid flows under periodic boundary conditions. Furthermore, the abundance of the short term unpredic…