On the Global Well-Posedness of 2D $t^\alpha$-Type Boussinesq Equations
Received:June 13, 2025  Revised:November 18, 2025
Key Words: Boussinesq equations   Schauder fixed-point theorem   integrating factor method  
Fund Project:Supported by the Natural Science Foundation of Hunan Province (Grant No.2023JJ0007), the National Natural Science Foundation of China (Grant No.12001064), the Research Project on Teaching Reform in Colleges and Universities of Hunan Province (Grant No.HNJG-2021-0462), the National First-class Offline Undergraduate Course Complex Variable Functions and Integral Transformations and Major Scientific and Technological Innovation Platform Project of Hunan Province (Grant No.2024JC1003).
Author NameAffiliation
Fang WANG School of Mathematics and Statistics, Changsha University of Science Technology, Hunan 410114, P. R. China
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Hunan 410114, P. R. China 
Fengqun TANG School of Mathematics and Statistics, Changsha University of Science Technology, Hunan 410114, P. R. China
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Hunan 410114, P. R. China 
Yao TAN School of Mathematics and Statistics, Changsha University of Science Technology, Hunan 410114, P. R. China
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Hunan 410114, P. R. China 
Yanling LI School of Mathematics and Statistics, Changsha University of Science Technology, Hunan 410114, P. R. China
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Hunan 410114, P. R. China 
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Citation:
DOI:10.3770/j.issn:2095-2651.2026.03.007
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