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

Author

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  • Ni, Kaicheng
  • Su, Heling
  • Zhu, Jiahui

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.

Suggested Citation

  • Ni, Kaicheng & Su, Heling & Zhu, Jiahui, 2025. "The stochastic MHD equations driven by pure jump noise in Lp spaces," Statistics & Probability Letters, Elsevier, vol. 219(C).
    • Handle: RePEc:eee:stapro:v:219:y:2025:i:c:s0167715224003201
    DOI: 10.1016/j.spl.2024.110351
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