耦合Zakharov-Kuz涅佐夫系统的光滑性

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-02-04 DOI:10.58997/ejde.2023.11

Julie L. Levandosky, O. Vera

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引用次数: 0

摘要

本文研究了二维耦合Zakharov-Kuz涅佐夫系统解的光滑性。我们证明了方程的色散性质导致了解的正则性增益。特别地，如果初始数据（u0，v0）具有一定的规律性和足够的衰变为x→ ∞, 则对于0本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Smoothing properties for a coupled Zakharov-Kuznetsov system

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.