GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION

doi:10.1016/S0252-9602(18)30792-6

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 915-925.doi: 10.1016/S0252-9602(18)30792-6

GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION

李睿, 赖翀, 吴永洪

Department of Mathematics and Statistics, Curtin University, Perth, Australia

收稿日期:2017-05-16 修回日期:2017-09-15 出版日期:2018-06-25 发布日期:2018-06-25
通讯作者: Rui LI E-mail:rui.li14@postgrad.curtin.edu.au
作者简介:Chong LAI,E-mail:laichong1991716@gmail.com;Yonghong WU,E-mail:y.wu@curtin.edu.au

GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION

Rui LI, Chong LAI, Yonghong WU

Department of Mathematics and Statistics, Curtin University, Perth, Australia

Received:2017-05-16 Revised:2017-09-15 Online:2018-06-25 Published:2018-06-25
Contact: Rui LI E-mail:rui.li14@postgrad.curtin.edu.au

摘要/Abstract

摘要：

The existence of global weak solutions for a generalized Benjamin-Bona-MahonyBurgers equation is established in the space C([0, ∞)×R) ∩ L^∞([0, ∞); H¹(R)) under the condition that its initial value belongs to the space H¹(R). A one-sided super bound estimate and a space-time higher-norm estimate on the first order derivatives of the solution with respect to the space variable are derived to prove the existence.

关键词: Generalized Benjamin-Bona-Mahony-Burgers equation, global weak solution, weak limits

Abstract:

Key words: Generalized Benjamin-Bona-Mahony-Burgers equation, global weak solution, weak limits

李睿, 赖翀, 吴永洪. GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION[J]. 数学物理学报(英文版), 2018, 38(3): 915-925.

Rui LI, Chong LAI, Yonghong WU. GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION[J]. Acta mathematica scientia,Series B, 2018, 38(3): 915-925.

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GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION

GLOBAL WEAK SOLUTIONS TO A GENERALIZED BENJAMIN-BONA-MAHONY-BURGERS EQUATION

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