Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Ya Yan LU and Prof. Wei Wei SUN

The DiPerna-Lions theory for differential equations with non-smooth coefficients, and its stochastic extension

by

Professor Chun LIU
Department of Mathematics
The Penn State University
USA

Date: Dec 15, 2010 (Wednesday)
Time:4:30 pm to 5:30 pm
Venue: Room B5307 (Near Lift 4)
Blue Zone, Level 5, Academic Building
City University of Hong Kong

ABSTRACT: Ion channels are key components in a wide variety of biological processes.The selectivity of ion channels is the key to many biological process. Selectivities in both calcium and sodium channels can be described by the reduced models, taking into consideration of dielectric coefficient and ion particle sizes, as well as their very different primary structure and properties. These self-organized systems will be modeled and analyzed with energetic variational approaches (EnVarA) that were motivated by classical works of Rayleigh and Onsager. The resulting/derived multiphysics-multiscale systems automatically satisfy the Second Laws of Thermodynamics and the basic physics that are involved in the system, such as themicroscopic diffusion, the electrostatics and the macroscopic conservation of momentum, as well as the physical boundary conditions. In this talk, I will discuss the some of the related biological, physics, chemistry and mathematical issues arising in this area.

** All interested are welcome **

For enquiry: 3442-9816