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Author

Zhao-Yang Shang

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Preprint Oct 2026

Global Regular Solutions for One-Dimensional Degenerate Compressible Non-Resistive MHD Equations with Large Data and Far-Field Vacuum

We consider the Cauchy problem on the real line for a one-dimensional transverse-field isentropic non-resistive magnetohydrodynamic system with viscosity $\mu(\rho)=\alpha\rho^\delta$, $0<\delta\leq1$, and vacuum at spatial infinity. The viscosity therefore vanishes precisely where the density vanishes. We establish tw...

Zhao-Yang Shang · 0 citations
Preprint Oct 2026

Global solutions to the two-dimensional compressible MHD equations with density-dependent bulk viscosity

We study the two-dimensional periodic resistive compressible magnetohydrodynamic equations with constant shear viscosity and magnetic diffusivity, bulk viscosity $\rho^\beta$, and pressure $\rho^\gamma$. For every $\beta>1$ and $\gamma>1$, we construct global finite-energy renormalized weak solutions from strictly posi...

Ya-Chun Li, Peng Lu, Zhao-Yang Shang · 0 citations

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