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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 13
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Articles

Stochastic generalized magnetohydrodynamics equations: well-posedness

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Pages 2464-2485 | Received 10 Feb 2018, Accepted 30 Mar 2018, Published online: 16 Apr 2018
 

Abstract

In this paper, we study a stochastic magnetohydrodynamics system with fractional diffusion (-Δ)α, α>0, in Rd, d=2,3. Our main goal is to identify the regularity of the driving noises and the conditions on α under which we can prove the existence of a martingale solution.

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Acknowledgements

Special thanks goes to Dr. Razafimandimby for discussions, comments and suggestions for improving this paper.

Notes

No potential conflict of interest was reported by the author.

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