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Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term

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成果类型:
期刊论文
作者:
Zhao, HJ*;Xuan, BJ
通讯作者:
Zhao, HJ
作者机构:
[Zhao, HJ; Xuan, BJ] CENT CHINA NORMAL UNIV,DEPT MATH,WUHAN 71007,PEOPLES R CHINA.
[Zhao, HJ] CHINESE ACAD SCI,WUHAN INST MATH SCI,YOUNG SCIENTIST LAB MATH PHYS,POB 71007,WUHAN 71007,PEOPLES R CHINA.
通讯机构:
[Zhao, HJ] C
CHINESE ACAD SCI,WUHAN INST MATH SCI,YOUNG SCIENTIST LAB MATH PHYS,POB 71007,WUHAN 71007,PEOPLES R CHINA.
语种:
英文
关键词:
generalized BBM-Burgers equations;dissipative term;theory of compensated compactness;Sobolev's compactness imbedding theorem
期刊:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN:
0362-546X
年:
1997
卷:
28
期:
11
页码:
1835-1849
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
This work considers the existence of the global smooth solutions of several generalized BBM-Burgers equations. First, for n ≥1, the convergence results are discussed by employing a compact imbedding theorem. Following this, when n = 1, by exploiting the modified compact framework of Yunguang Lu, a convergence result is also obtained. Finally, it is pointed out that to get the strong convergence results, the second results do not ask f to be convex. This is due to the ...

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