CrossRef 2025

A local smoothness criterion for 3D generalized Hall-MHD equations

Xiaopeng Zhao Zeyang Zhao

Abstrak

This paper is devoted to studying the generalized incompressible Hall-MHD system in \mathbb{R}^{3} . Based on energy estimates and regularization of the initial data with the generalized heat semigroup, local existence for initial data (u_{0},b_{0},v_{0}) in the critical spaces \dot{H}^{ \frac{5-4\alpha}{2}}(\mathbb{R}^{3}) and global existence for the \dot{H}^{\frac{5-4\alpha}{2}} -norm of initial data (u_{0},b_{0},v_{0}) sufficiently small are proved.

Penulis (2)

Xiaopeng Zhao

Zeyang Zhao

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Zhao, X., Zhao, Z. (2025). A local smoothness criterion for 3D generalized Hall-MHD equations. https://doi.org/10.4171/rsmup/186

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: CrossRef
DOI: 10.4171/rsmup/186
Akses: Terbatas