Solutions of Navier-Stokes Equations with Coriolis Force in the Rotational Framework
2021 ◽
Vol 31
(5)
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pp. 54-57
Keyword(s):
In this article, for 0 ≤m<∞ and the index vectors q=(q_1,q_2 ,q_3 ),r=(r_1,r_2,r_3) where 1≤q_i≤∞,1<r_i<∞ 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.
2020 ◽
Vol 378
(2174)
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pp. 20190526
2017 ◽
Vol 25
(1)
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pp. 195-206
2003 ◽
Vol 281
(1)
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pp. 62-75
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2015 ◽
Vol 17
(3)
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pp. 577-597
2005 ◽
Vol 462
(2066)
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pp. 459-479
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2016 ◽
Vol 261
(6)
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pp. 3670-3703
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