On initial-boundary value problems in a strip for generalized two-dimensional Zakharov-Kuznetsov equation
Andrei Faminskii, Evgeniya Baykova
TL;DR
This paper investigates initial-boundary value problems for the two-dimensional generalized Zakharov-Kuznetsov equation in a strip, establishing global existence and uniqueness of weak solutions under various boundary conditions.
Contribution
It provides new results on the global existence and uniqueness of weak solutions for the generalized Zakharov-Kuznetsov equation in a strip with different boundary conditions.
Findings
Proved global existence of weak solutions.
Established uniqueness of solutions.
Analyzed effects of boundary conditions on solutions.
Abstract
Initial-boundary value problems in a strip with different types of boundary conditions for two-dimensional generalized Zakharov--Kuznetsov equation are considered. Results on global existence and uniqueness of weak solutions in certain weighted spaces are established.
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
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Differential Equations and Boundary Problems