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http://dx.doi.org/10.5831/HMJ.2016.38.3.583

REGULARITY OF 3D NAVIER-STOKES EQUATIONS WITH SPECTRAL DECOMPOSITION

Jeong, Hyosuk (Department of Mathematics, Chonnam National University)

Publication Information

Honam Mathematical Journal / v.38, no.3, 2016 , pp. 583-592 More about this Journal

Abstract

In this paper, we consider the global existence of strong solutions to the incompressible Navier-Stokes equations on the cubic domain in $R^3$ . While the global existence for arbitrary data remains as an important open problem, we here provide with some new observations on this matter. We in particular prove the global existence result when ${\Omega}$ is a cubic domain and initial and forcing functions are some linear combination of functions of at most two variables and the like by decomposing the spectral basis differently.

Keywords

Navier-Stokes equations; global existence; strong solution;

Citations & Related Records

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