Hassan Khaider, Achraf Azanzal, Abderrahmane Raji
Abstract:
In this article, we apply the Ito integral to obtain the global
solutions for stochastic quasi-geostrophic equations in
Fourier-Besov-Morrey spaces. For comparison we also give the
corresponding results of the deterministic quasi-geostrophic equations.
We assume the initial data is \(F_0\) measurable and
the right-hand side is a random function in a Morrey space,
to obtain the well posedness of stochastic quasi-geostrophic equations.
Submitted June 26, 2024. Published November 20, 2024.
Math Subject Classifications: 35Q35, 42B37, 35Q85, 35R60.
Key Words: Ito integral; stochastic quasi-geostrophic equations; Fourier-Besov-Morrey spaces; partial differential equations.
DOI: 10.58997/ejde.2024.74
Show me the PDF file (365 KB), TEX file for this article.
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Hassan Khaider Laboratory LMACS Faculty of Science and Technology of Beni Mellal Sultan Moulay Slimane University Beni Mellal, BP 523, 23000, Morocco email: hassankhaider1998@gmail.com |
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Achraf Azanzal Laboratory LEST High School of Education and Formation (ESEF) Hassan First University, Settat, Morocco email: achraf0665@gmail.com |
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Abderrahmane Raji Laboratory LMACS Faculty of Science and Technology of Beni Mellal Sultan Moulay Slimane University Beni Mellal, BP 523, 23000, Morocco email: rajiabd2@gmail.com |
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