The existence and decay rates of strong solutions for Navier-Stokes Equations Sobolev

Abstract

In this paper, we prove some results on the existence and decay properties of high order derivatives in time and space variables for local and global solutions of the Cauchy problem for the Navier-Stokes equations in Sobolev.

arXiv comment20 pages. arXiv admin note: text overlap with arXiv:1601.01723

References in corpus (2)

• Well-posedness for the Navier-Stokes equations with datum in Sobolev-Fourier-Lorentz spaces
• On the initial value problem for the Navier-Stokes equations with the initial datum in critical Sobolev and Besov spaces

Cited by in corpus (2)

• Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces
• On the initial value problem for the Navier-Stokes equations with the initial datum in the Sobolev spaces