论文标题
Navier-Stokes方程的Lei-lin解决方案的存在和分析性
Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus
论文作者
论文摘要
Lei和Lin最近给出了基于Wiener代数的功能空间中三维Navier-Stokes方程的全球温和解决方案的证明。然后，BAE开发了这些溶液存在的替代证明，这一新证明允许估计溶液在积极时期的分析性半径。我们适应了BAE的证明，以证明Lei-lin溶液在空间周期性的环境中的存在，在这种情况下发现了对分析性半径的改善。
Lei and Lin have recently given a proof of a global mild solution of the three-dimensional Navier-Stokes equations in function spaces based on the Wiener algebra. An alternative proof of existence of these solutions was then developed by Bae, and this new proof allowed for an estimate of the radius of analyticity of the solutions at positive times. We adapt the Bae proof to prove existence of the Lei-Lin solution in the spatially periodic setting, finding an improved bound for the radius of analyticity in this case.
