Stochastic generalized magnetohydrodynamics equations: well-posedness

Ali, Zakaria Idriss

doi:10.1080/00036811.2018.1460821

Applicable Analysis

2018

DOI: 10.1080/00036811.2018.1460821

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Stochastic generalized magnetohydrodynamics equations: well-posedness

Zakaria Idriss Ali

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Cited by 4 publications

References 18 publications

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Global well-posedness and analyticity for the fractional stochastic Hall-magnetohydrodynamics system in the Besov–Morrey spaces

Khaider,

Azanzal,

Raji

2024

Arab. J. Math.

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This paper studies the existence and uniqueness of solution for the fractional Hall-magnetohydrodynamics system (HMH) and with two stochastic terms (SHMH). Based on the theory of Besov–Morrey spaces and the contraction principle, we will demonstrate tow main result. The first result shows the existence, uniqueness and the analyticity of solution for (HMH) in Besov–Morrey spaces $$\textrm{N}_{p,\lambda }^{s}$$ N p , λ s . The second result prove the existence and uniqueness of solution for (SHMH) in $${\mathcal {L}}_0^1\big (\Omega \times (0,T),{\mathcal {P}};{\mathcal {M}}_p^\lambda \big ) \cap \textrm{N}_{p,\lambda }^{s}$$ L 0 1 ( Ω × ( 0 , T ) , P ; M p λ ) ∩ N p , λ s .

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Global well-posedness and analyticity for the fractional stochastic Hall-magnetohydrodynamics system in the Besov–Morrey spaces

Khaider,

Azanzal,

Raji

2024

Arab. J. Math.

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Stochastic velocity modeling of Magneto-Hydrodynamics Non-Darcy flow between two stationary parallel plates

Galal

2021

Alexandria Engineering Journal

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Stochastic generalized magnetohydrodynamics equations with not regular multiplicative noise: Well-posedness and invariant measure

Idriss

Razafimandimby

2019

Journal of Mathematical Analysis and Applications

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Stochastic generalized magnetohydrodynamics equations: well-posedness

Cited by 4 publications

References 18 publications

Global well-posedness and analyticity for the fractional stochastic Hall-magnetohydrodynamics system in the Besov–Morrey spaces

Global well-posedness and analyticity for the fractional stochastic Hall-magnetohydrodynamics system in the Besov–Morrey spaces

Stochastic velocity modeling of Magneto-Hydrodynamics Non-Darcy flow between two stationary parallel plates

Stochastic generalized magnetohydrodynamics equations with not regular multiplicative noise: Well-posedness and invariant measure

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