Colloquium 11/15/19 3:30pm NS212E

"Method of upper/lower solutions to reaction diffusion equations" Dr. Changbing Hu

Abstract:

In this talk we will introduce some fundamental upper and lower solution method in the study of partial differential equations (PDEs).

We will illustrate this method by using some classical PDEs, like the Laplace equation and heat equation. As for its applications, we will focus onthe reaction diffusion equations arising (RDs) from mathematical ecology, chemical reaction and network. Topics include the existence of solutions with general initial data, or some  traveling wave solutions, persistence and extinction for some species. Some recent results will be reported as well.

This talk will be presented at the level of Calculus.

Institutional Accreditation:

The University of Louisville is accredited by the Commission on Colleges of the Southern Association of Colleges and Schools to award associate, bachelor, master, specialist, doctoral, and first-professional degrees (D.M.D., J.D., M.D.). Individuals who wish to contact the Commission on Colleges regarding the accreditation status of the university may write the Commission at 1866 Southern Lane, Decatur, Georgia 30033-4097, or call (404) 679-4500. See Accreditation Confirmation Letter for more Information.

University of Louisville, Department of Mathematics.
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