most citedSharp well-posedness and ill-posedness in Fourier-Besov spaces for the viscous primitive equations of geophysics

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math.AP2019★ 1 cited

Global large solutions for the Navier-Stokes equations with the Coriolis force

Jinlu Li, Jinyi Sun, Minghua Yang

In this paper, we construct a class of global large solution to the three-dimensional Navier-Stokes equations with the Coriolis force in critical Fourier-Besov space $\dot{FB}^{2-\…

math.AP2015★ 2 cited

Sharp well-posedness and ill-posedness in Fourier-Besov spaces for the viscous primitive equations of geophysics

Jinyi Sun, Shangbin Cui

We study well-posedness and ill-posedness for Cauchy problem of the three-dimensional viscous primitive equations describing the large scale ocean and atmosphere dynamics. By using…