Global existence and uniqueness of the 2D damped wave type MHD equations

2023 · doi:10.21203/rs.3.rs-2604698/v1
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Abstract

We consider the two-dimensional damped wave type magnetohydrodynamic equations with fractional dissipation. We prove the global existence and uniqueness of solution for small initial data in Sobolev spaces. AMS Subject Classification 2010: 35A05; 35Q35; 76D03

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