Mathematical Sciences - Colloquium

Asymptotic Analysis of a Fast Reaction
Outside a Solid Sphere in a Creeping Flow


Supawan Lertskrai
University of Montana
In partial fulfillment of the requirements for a doctoral degree

A problem that combines mass transfer of an active chemical species through the surface of a solid sphere located in an axially symmetric, incompressible slow flow and a fast reaction outside a sphere is considered. The solute from the interior of the sphere diffuses through the sphere's surface and enters the liquid. Due to the presence of a fast reaction, the problem contains a small parameter which makes the problem singularly perturbed. The asymptotic approximation of the solution is derived using the Boundary Function Method, and compared with numerical solution graphically.

Thursday, 25 April 2002
4:10 p.m. in Math 109
Coffee/treats at 3:30 p.m. Math 104 (Lounge)


Spring 2002 Colloquium Schedule | Mathematical Sciences | The University of Montana