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arXiv · 2408.04995

Global Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data

Yachun Li·Peng Lu·Zhaoyang Shang
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Abstract

We consider the Cauchy problem to the three-dimensional isentropic compressible Magnetohydrodynamics (MHD) system with density-dependent viscosities. When the initial density is linearly equivalent to a large constant state, we prove that strong solutions exist globally in time, and there is no restriction on the size of the initial velocity and initial magnetic field.

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Yachun Li, Peng Lu, Zhaoyang Shang. 2024-08-18. Global Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data. https://arxiv.org/abs/2408.04995

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