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On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces

2023; De Gruyter Open; Volume: 21; Issue: 1 Linguagem: Inglês

10.1515/math-2023-0170

2391-5455

Xiaochun Sun, Gaoting Xu, Yulian Wu,

Nonlinear Partial Differential Equations

Abstract In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces. Moreover, we showed a blow-up criterion, i.e., when the maximal time of existence T * {T}^{* } is finite, we proved that the norm of this same solution, in a specific Lei-Lin-Gevrey space, goes to infinity, as time tends to the maximal time of its existence.