Hongjun Gao, Lin Lin, Yajun Chu
Abstract:
In this article, we study the periodic initial-value problem of the 2D
coupled Burgers-complex-Ginzburg-Landau (Burgers-CGL) equations.
Applying the Brezis-Gallout inequality which is available in 2D case
and establishing some prior estimates, we obtain the existence and
uniqueness of a global solution under certain conditions.
Submitted June 2, 2015. Published December 7, 2015.
Math Subject Classifications: 35M13, 35D35.
Key Words: Burgers-CGL equation; prior estimate; global solution;
Gagliardo-Nirenberg inequality; Holder inequality.
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| Hongjun Gao Institute of Mathematics School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China email: gaohj@njnu.edu.cn | |
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Lin Lin (corresponding author) Institute of Mathematics School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China email: linlin@njnu.edu.cn |
| Yajun Chu Institute of Mathematics School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China email: chuyjnjnu@163.com |
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