S. Pathak

collaborators

3 papers

math.AP2019

A priori estimates in terms of the maximum norm for the solution of the Navier-Stokes equations for the periodic initial data

Santosh Pathak

In this paper, we consider the Cauchy problem for the incompressible Navier-Stokes equations in $R^{n}$ for $n \geq 3$ with smooth periodic initial data and derive a priori…

math.AP2019

$L^{\infty}$ -Estimates of the Solution of the Navier-Stokes Equations for a Nondecaying Initial Data

Santosh Pathak

In this paper, we reprove the principal result of a paper by H-O Kreiss and Jens Lorenz from a different approach than the method proposed in their paper. More precisely, we consid…

math.FA2014

Stability of exponential bases on d- dimensional domains

Laura De Carli, Santosh Pathak

We find explicit stability bounds for exponential Riesz bases on domains of R^d. Our results generalize Kadec theorem and other stability theorems in the literature.

A priori estimates in terms of the maximum norm for the solution of the Navier-Stokes equations for the periodic initial data

L∞-Estimates of the Solution of the Navier-Stokes Equations for a Nondecaying Initial Data

Stability of exponential bases on d- dimensional domains

$L^{\infty}$ -Estimates of the Solution of the Navier-Stokes Equations for a Nondecaying Initial Data