[PAST EVENT] CSUMS Lecture/Mathematics Colloquium: Zhian Wang (Hong Kong Polytechnic University, China)

December 2, 2011
2pm - 3pm
Jones Hall, Room 301
200 Ukrop Way
Williamsburg, VA 23185Map this location
Abstract: In this talk, we will discuss travel wave solutions for a class of chemotaxis models with logarithmic sensitivity, which may describe a variety of biological or medical phenomena including bacterial chemotactic motion, initiation of angiogenesis and reinforced random walks. The challenges of obtaining traveling wave solutions of such chemotaxis models lie in the high dimensionality and the singularity. Hence the routine approaches, such as phase plane analysis, no longer work. In the talk, we shall show these challenges will be overcome by variable transformations, such that the transformed system can be solved by the routine approaches. The existence, wave speed and stability of traveling wave solutions will be discussed and open questions will be presented.