DEPARTMENT OF MATHEMATICAL AND STATISTICAL SCIENCES
UNIVERSITY OF ALBERTA

PIMS-MITACS MATHEMATICAL BIOLOGY SEMINAR


MONDAY, February 06, 2006
3:00 - 4:00 p.m.
CAB 657

Claudia Calin


A few theoretical and numerical results in the Smoluchowski Coagulation Equation with unbounded kernel and particle source terms.

During the past few years, increasing attention and effort have been given to the mathematical theory of coagulation equations which models the formation of large particles by the coalesence of smaller particles. Coagulation equations arise in a number of problems in the physical and polymer sciences, hematology, aggregation of red blood cells and birth-death processes. One interesting aspect of the coagulation equation, that occurs for certain coagulation kernels, is the phenomenon whereby conservation of mass breaks down in finite time (known as gelation) and is physically interpreted as being caused by the appearance of an infinite "gel" or "superparticle". In this talk I will address two numerical methods (collocation and direct discretization) I employed in order to study the behaviour of the solution to the coagulation equation. This talk will also cover some theoretical study of the existence and uniqueness of the solution.

Refreshments will be served following the seminar from 4:00 to 5:00 p.m. in CAB 549