13 citations · 15 across the 5 of their papers we have counts for
7 papers
Exact Periodic Solutions of the Forced Incompressible Navier-Stokes Equations in Arbitrary Dimensions
R. K. Michael Thambynayagam
Exact periodic solutions of the unforced incompressible Navier-Stokes equations require the convective field to be a pure gradient, absorbed into the pressure; for the cyclic trigo…
Iterative Construction of n-Dimensional Navier-Stokes Solutions with Non-Gradient Convection
R. K. Michael Thambynayagam
Exact periodic solutions of the incompressible Navier-Stokes equations arise when the convective field is a pure gradient and can be absorbed into the pressure. We construct soluti…
n-tuple-periodic Solutions of the Navier-Stokes Equations: Existence and Obstructions
R. K. Michael Thambynayagam
We introduce a phase-angle framework for constructing and classifying n-tuple-periodic solutions of the incompressible Navier-Stokes equations, and use it to determine, dimension b…
A class of exact solutions of the Navier-Stokes equations in three and four dimensions
R. K. Michael Thambynayagam
A few basic, intuitive, properties of the Navier-Stokes system of equations for incompressible fluid flows are discussed in this paper. We present a rephrased interpretation of the…
The Navier-Stokes Existence and Smoothness Poser in
R. K. Michael Thambynayagam
In this paper we describe a method to derive solutions of the incompressible Navier- Stokes system of equations for non-stationary initial value problems in . We show…
An analytic solution of the non-stationary Navier-Stokes equation in three dimensions
R. K. Michael Thambynayagam
In this paper we describe a method to derive classical solutions of the Navier-Stokes equations for non-stationary initial value problems in domain R^n (n = 2, 3 or higher). A new…