Global Mild Solutions of Fractional Naiver-Stokes Equations with Small Initial Data in Critical Besov-Q Spaces

2012/12/04 by Pengtao Li, Jie Xiao, Li, Pengtao +3 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1212.0766

openalex publication_date 2012/12/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish the global existence and uniqueness of a mild solution of the so-called fractional Navier-Stokes equations with a small initial data in the critical Besov-Q space covering many already known function spaces.

Citations

• On the solutions of quasi-linear elliptic partial differential equations

Cited by

• Wavelets and Triebel type oscillation spaces

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