Global attractors for multivalued semiflows with weak continuity properties
P. Kalita, G. {\L}ukaszewicz
TL;DR
This paper introduces a new method for analyzing multivalued semiflows with weak continuity, applying it to reaction-diffusion problems with complex boundary and source conditions.
Contribution
It develops a novel approach for multivalued semiflows with weak continuity and applies it to complex reaction-diffusion systems.
Findings
Established a method for multivalued semiflows with weak continuity
Applied the method to reaction-diffusion problems with nonmonotone conditions
Provided insights into the behavior of such systems
Abstract
A method is proposed to deal with some multivalued semiflows with weak continuity properties. An application to the reaction-diffusion problems with nonmonotone multivalued semilinear boundary condition and nonmonotone multivalued semilinear source term is presented.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStability and Controllability of Differential Equations · Nonlinear Differential Equations Analysis · Navier-Stokes equation solutions