Global well-posedness of the 3-dimensional Navier-Stokes initial value problem in L^p∩ L² with 3

2012/04/23 by Shangbin Cui, Cui, Shangbin · 1 citation
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1204.5040

openalex publication_date 2012/04/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

By using the continuous induction method, we prove that the initial value problem of the three dimensional Navier-Stokes equations is globally well-posed in L^p(ℝ³)∩ L²(ℝ³) for any 3

Citations

• StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions
• Sur le mouvement d'un liquide visqueux emplissant l'espace
• Weak Solutions for the Navier-Stokes Equations for B^-1(ln)_∞∞+B_X_r^{-1+r,(2)/(1-r)}+L² Initial Data

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• Mixed Lebesgue space norm Strichartz type estimation for solution of inhomogeneous parabolic equation, with constants evaluation

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