The stochastic MHD equations driven by pure jump noise in Lp spaces

Kaicheng Ni, Heling Su and Jiahui Zhu

Statistics & Probability Letters, 2025, vol. 219, issue C

Abstract: We consider the stochastic incompressible magnetohydrodynamic equations driven by additive jump noises on either the whole space Rd, d=2,3 or a smooth bounded domain D in Rd. We establish the local existence and uniqueness of a mild solution in the space Lq(0,T;Lσp⊗(D)) allowing for initial data with less regularity, including the marginal case u0∈Lσd⊗(D). In the two-dimensional case, we also prove the global existence of mild solutions.

Keywords: Stochastic MHD system; Mild solution; Compensated Poisson random measure; Well-posedness (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110351

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