Smoothing properties for a coupled Zakharov-Kuznetsov system
Date
2023-02-04
Authors
Levandosky, Julie
Vera, Octavio
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study the smoothness properties of solutions to a two-dimensional coupled Zakharov-Kuznetsov system. We show that the equations dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data (u0,v0) possesses certain regularity and sufficient decay as x → ∞, then the solution (u(t),v(t)) will be smoother than (u0, v0) for 0 < t ≤ T where T is the existence time of the solution.
Description
Keywords
Coupled Zakharov-Kuznetsov system, Gain in regularity, Weighted Sobolev space
Citation
Levandosky, J. L., & Vera, O. (2023). Smoothing properties for a coupled Zakharov-Kuznetsov system. Electronic Journal of Differential Equations, 2023(11), pp. 1-41.
Rights
Attribution 4.0 International