周期变形Hunter-Saxton方程的整体存在性

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-22 DOI:10.1016/j.aml.2025.109725

Yunzhi Zhang, Bo Jiang

引用次数: 0

摘要

考虑变形Hunter-Saxton方程的周期Cauchy问题。主要利用保号性质和一个新的守恒律，建立了这类方程的整体存在性。

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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Global existence for the periodic deformed Hunter–Saxton equation

We consider the periodic Cauchy problem for the deformed Hunter–Saxton equation. Using mainly the sign-preserving property and a new conservation law, we establish a global existence result for such an equation.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.