https://doi.org/10.1051/epjconf/202533201005
Gevrey well-posedness of the 2D micropolar boundary layer equations without structural assumption
1 School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350108, China.
2 Center for Applied Mathematics of Fujian Province, Fuzhou 350108, China.
* e-mail: linxueyun90@fzu.edu.cn
Published online: 9 July 2025
In this paper, we are aimed to obtain the well-posedness theory for the 2D micropolar boundary layer system in Gevrey function space with Gevrey index σ ε (1, 3/2 ] in the absence of the structural assumption. This paper first introduces the Gevrey function space. Then it obtains the a priori estimate. It is worth mentioning that we introduce an auxiliary function u which is of great importance to overcome the loss of tangential derivatives in the system. We discover that the 2D micropolar boundary layer system is well-posed in Gevrey function space.
© The Authors, published by EDP Sciences, 2025
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