Title: On the solution structure of bistable reaction diffusion equation on some thin tubular domain

Abstract: On a thin tubular domain, we consider scalar bistable reaction-diffusion equations with the Neumann boundary condition. The domain shrinks to a line segment, while only the middle part shrinks much faster than the other part. Since the domain is thin, the equation is expected to be approximated by some one-dimensional limiting equation. After introducing what the appropriate limiting equation should be, we show that it indeed approximates the original equation. Then we discuss the solution structure of the limiting equation.

Speaker: Toru Kan,  Tokyo Institute of Technology

Time and location:  June 7th,  4:30-5:30pm,  Environmental Building Room 316