Almost sure existence of global weak solutions for incompressible MHD equations in negative-order Sobolev space (Q526027)
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scientific article; zbMATH DE number 6712387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost sure existence of global weak solutions for incompressible MHD equations in negative-order Sobolev space |
scientific article; zbMATH DE number 6712387 |
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Almost sure existence of global weak solutions for incompressible MHD equations in negative-order Sobolev space (English)
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8 May 2017
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The paper considers the existence of global weak solutions in negative Sobolev space for incompressible MHD systems. The results improve the previous results [\textit{A. R. Nahmod} et al., SIAM J. Math. Anal. 45, No. 6, 3431--3452 (2013; Zbl 1355.76018)] a lot and fill the gap between local and global solutions in negative Sobolev spaces \(H^s\) with the improved index ``\(s\)'' from \((-1/2,0)\) to \((-1,0)\). Therefore, the work is important and make some progress in the field of MHD systems.
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incompressible magnetohydrodynamics equations
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negative-order Sobolev space
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almost sure existence
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0.92785174
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