@article{Pathak_2019, title={A priori estimates in terms of the maximum norm for the solution of the Navier-Stokes equations with periodic initial data}, volume={36}, url={https://www.nepjol.info/index.php/nmsr/article/view/29969}, DOI={10.3126/nmsr.v36i1-2.29969}, abstractNote={<p>In this paper, we consider the Cauchy problem for the incompressible Navier-Stokes equations in R<sup>n</sup> for <em>n</em> ≥ 3 with smooth periodic initial data and derive a priori estimtes of the maximum norm of all derivatives of the solution in terms of the maximum norm of the initial data. This paper is a special case of a paper by H-O Kreiss and J. Lorenz which also generalizes the main result of their paper to higher dimension.</p>}, number={1-2}, journal={The Nepali Mathematical Sciences Report}, author={Pathak, Santosh}, year={2019}, month={Dec.}, pages={39–50} }