On the Global Well-Posedness of Rotating Magnetohydrodynamics Equations with Fractional Dissipation

oleh: Muhammad Zainul Abidin, Muhammad Marwan, Humaira Kalsoom, Omer Abdalrhman Omer

Format: Article
Diterbitkan: MDPI AG 2022-06-01

Deskripsi

This work considers the three-dimensional incompressible rotating magnetohydrodynamics equation spaces with fractional dissipation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow><mo>(</mo><mo>−</mo><mo>Δ</mo><mo>)</mo></mrow><mo>℘</mo></msup></semantics></math></inline-formula> for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo><</mo><mo>℘</mo><mo>≤</mo><mn>1</mn></mrow></semantics></math></inline-formula>. Furthermore, we use the Littlewood–Paley decomposition and frequency localization techniques to establish the global well-posedness of fractional rotating magnetohydrodynamics equations in a more generalized Besov spaces characterized by the time evolution semigroup related to the generalized linear Stokes–Coriolis operator.