We proved the fractional incompressible Navier-Stokes equations for the initial data by the Fourier analysis and standard techniques in the Sobolev-Gevrey space(H)sa,σ(R3)(a>0,σ>1,5/2-2α<s<3/2,1≤α≤5/4).We show the unique existence of solution u∈C([0,T∗);(H)sa,σ(R3))for the initial data u0 ∈(H)sa,σ(R3)and the exponential type blow-up criteria considering these same spaces withT∗<∞.
关键词
分数阶Navier-Stokes方程/爆破准则/解的存在性/Fourier分析
Key words
fractional incompressible Navier-Stokes equations/Blow-up criteria/existence of solution/Fourier analysis
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