Local wellposedness for the non-resistive MHD equations in optimal Sobolev spaces
Yatao Li
TL;DR
This paper proves local well-posedness for the non-resistive MHD equations in optimal Sobolev spaces by developing a new commutator estimate, advancing understanding of the equations' mathematical properties.
Contribution
The paper introduces a novel commutator estimate that enables establishing local well-posedness in optimal Sobolev spaces for the non-resistive MHD system.
Findings
Established local well-posedness in optimal Sobolev spaces
Developed a new commutator estimate for the analysis
Enhanced mathematical understanding of non-resistive MHD equations
Abstract
We show that the system is locally wellposed in by establishing a new commutator estimate
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Navier-Stokes equation solutions · Stability and Controllability of Differential Equations