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In this article, for 0 ≤m&lt;∞ and the index vectors q=(q_1,q_2  ,q_3 ),r=(r_1,r_2,r_3) where 1≤q_i≤∞,1&lt;r_i&lt;∞ and 1≤i≤3, we study new results of Navier-Stokes equations with Coriolis force in the rotational framework in mixed-norm Sobolev-Lorentz spaces H ̇^(m,r,q) (R^3), which are more general than the classical Sobolev spaces. We prove the existence and uniqueness of solutions to the Navier-Stokes equations (NSE) under Coriolis force in the spaces L^∞([0, T]; H ̇^(m,r,q) ) by using topological arguments, the fixed point argument and interpolation inequalities. We have achieved new results compared to previous research in the Navier-Stokes problems.

Solutions of Navier-Stokes Equations with Coriolis Force in the Rotational Framework