不可压MHD方程组在临界Besov空间中的局部适定性
Local Well-Posedness for the Incompressible MHD Equations in the Critical Besov Space
DOI: 10.12677/AAM.2023.125255, PDF,   
作者: 燕怡凡：浙江师范大学数学科学学院，浙江 金华
关键词: MHD方程；齐次Besov空间；局部适定性；MHD Equation； Homogeneous Besov Space； Local Well-Posedness
摘要: 本文证明了Rd，d≥2中不可压缩磁流体(MHD)方程组在临界Besov空间中的局部适定性，当1≤p≤2d时，初值满足的MHD方程(1.1)在[0,T]上有唯一解。
Abstract: In this paper, we investigate the local well-posedness for the Rd, d≥2 incompressible magneto-hydrodynamic (MHD) equations in the critical Besov space. Let 1≤p≤2d, the MHD equations (1.1) with initial value has a unique solution on [0,T].
文章引用：燕怡凡. 不可压MHD方程组在临界Besov空间中的局部适定性[J]. 应用数学进展, 2023, 12(5): 2546-2552. https://doi.org/10.12677/AAM.2023.125255

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