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. <i>Electronic Journal of Differential Equations, 2023</i>(11), pp. 1-41.

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Attribution 4.0 International

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