Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
Publication 08-CNA-15
Contraction in and large time behavior for a system arising in chemical reactions and molecular motors Michel Chipot Danielle Hilhorst David Kinderlehrer Michał Ołech Abstract: We prove a contraction in property for the solutions of a nonlinear reaction-diffusion system whose special cases include intercellular transport as well as reversible chemical reactions. Assuming the existence of stationary solutions we show that the solutions stabilize as tends to infinity. Moreover, in the special case of linear reaction terms, we prove the existence and the uniqueness (up to a multiplicative constant) of the stationary solution. Get the paper in its entirety as |