In this paper, we apply Littlewood-Paley theory and Ito integral to get the global existence of stochastic Navier-Stokes equations with Coriolis force in Fourier-Besov spaces. As a comparison, we also give correspondi...In this paper, we apply Littlewood-Paley theory and Ito integral to get the global existence of stochastic Navier-Stokes equations with Coriolis force in Fourier-Besov spaces. As a comparison, we also give corresponding results of the deterministic Navier-Stokes equations with Coriolis force.展开更多
In this paper, we establish the global well-posedness of the generalized rotating mag- netohydrodynamics equations if the initial data are in χ^1-2α defined by χ^1-2α {u ∈D＇（R^3） ：fR^3｜｜^1-2αu^^（ξ）｜d...In this paper, we establish the global well-posedness of the generalized rotating mag- netohydrodynamics equations if the initial data are in χ^1-2α defined by χ^1-2α {u ∈D＇（R^3） ：fR^3｜｜^1-2αu^^（ξ）｜dξ〈＋∞}.In addition, we also give Gevrey class regularity of the solution.展开更多
基金supported by NSFC(Grant Nos.11471309 and 11771423)NSFC of Fujian(Grant No.2017J01564)+1 种基金Teaching Reform Project in Putian University(Grant No.JG201524)supported partly by NSFC(Grant No.11771423)
文摘In this paper, we apply Littlewood-Paley theory and Ito integral to get the global existence of stochastic Navier-Stokes equations with Coriolis force in Fourier-Besov spaces. As a comparison, we also give corresponding results of the deterministic Navier-Stokes equations with Coriolis force.
基金Supported by NSFC(Grant Nos.11471309 and 11771423)NSFC of Fujian(Grant No.2017J01564)
文摘In this paper, we establish the global well-posedness of the generalized rotating mag- netohydrodynamics equations if the initial data are in χ^1-2α defined by χ^1-2α {u ∈D＇（R^3） ：fR^3｜｜^1-2αu^^（ξ）｜dξ〈＋∞}.In addition, we also give Gevrey class regularity of the solution.
