具有强迫项Dullin-Gottwald-Holm,方程整体耗散解的存在性

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具有强迫项Dullin-Gottwald-Holm,方程整体耗散解的存在性李彬^1,2, 朱世辉³1. 四川师范大学数学科学学院成都 610066;
2. 绵阳中学实验学校绵阳 626001;
3. 四川师范大学数学科学学院成都 610066 Global Dissipative Solutions of the Dullin-Gottwald-Holm Equation with a Forcing Bin LI^1,2, Shi Hui ZHU³1. School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, P. R. China;
2. Mianyang Zhongxue Experimental School, Mianyang 626001, P. R. China;
3. School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, P. R. China

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摘要本文借鉴Bressan和Constantin于2007年提出的新特征线法，利用具有强迫项的Dullin-Gottwald-Holm方程的平衡律和一些新的估计，证明了该方程在H¹（R）中整体耗散解的存在性.

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收稿日期: 2017-04-25

MR (2010):

O175.27

基金资助:国家自然科学基金基金资助项目（11871138，11771314）

作者简介: 李彬,E-mail:1669598681@qq.com;朱世辉E-mail:shihizhumath@163.com

引用本文:

李彬, 朱世辉. 具有强迫项Dullin-Gottwald-Holm,方程整体耗散解的存在性[J]. 数学学报, 2019, 62(5): 745-764. Bin LI, Shi Hui ZHU. Global Dissipative Solutions of the Dullin-Gottwald-Holm Equation with a Forcing. Acta Mathematica Sinica, Chinese Series, 2019, 62(5): 745-764.

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