弱弥散机制下周期弥散广义本杰明-奥诺方程的良好拟合

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Nonlinearity Pub Date : 2024-06-18 DOI:10.1088/1361-6544/ad52e2

Niklas Jöckel

引用次数: 0

摘要

我们研究了周期性背景下的弥散广义本杰明-奥诺方程。该方程介于本杰明-奥诺方程（）和不粘性布尔格斯方程（）之间。我们通过使用短时傅立叶限制方法，在 for 和中获得了局部好求解性。

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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Well-posedness of the periodic dispersion-generalized Benjamin–Ono equation in the weakly dispersive regime

We study the dispersion-generalized Benjamin–Ono equation in the periodic setting. This equation interpolates between the Benjamin–Ono equation ( ) and the inviscid Burgers’ equation ( ). We obtain local well-posedness in for and by using the short-time Fourier restriction method.

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来源期刊

Nonlinearity 物理-物理：数学物理

CiteScore

3.00

自引率

5.90%

发文量

170

审稿时长

12 months

期刊介绍： Aimed primarily at mathematicians and physicists interested in research on nonlinear phenomena, the journal''s coverage ranges from proofs of important theorems to papers presenting ideas, conjectures and numerical or physical experiments of significant physical and mathematical interest. Subject coverage: The journal publishes papers on nonlinear mathematics, mathematical physics, experimental physics, theoretical physics and other areas in the sciences where nonlinear phenomena are of fundamental importance. A more detailed indication is given by the subject interests of the Editorial Board members, which are listed in every issue of the journal. Due to the broad scope of Nonlinearity, and in order to make all papers published in the journal accessible to its wide readership, authors are required to provide sufficient introductory material in their paper. This material should contain enough detail and background information to place their research into context and to make it understandable to scientists working on nonlinear phenomena. Nonlinearity is a journal of the Institute of Physics and the London Mathematical Society.