1 citations · 1 across the 4 of their papers we have counts for
5 papers
The Navier-Stokes Equation and Helmholtz Decomposition
Roy Burson
This work explores Navier-Stokes equation with no gravitational forces. In short, it shows that any smooth solution that decays quickly must take the form $$ \textbf{u}(x,t)- \dfra…
A Geometric analysis of the Navier-Stokes Equations
Roy Burson
In this work we study the Naiver-Stokes equations under the presence of no gravitational forces.
The Mobius Function and Congruent Numbers
Roy Burson
This work provides a complete characterization of congruent numbers in terms of Pythagorean triples. Specifically, we show that every congruent number can be written as $$\frac{nm\…
On the Distribution of the First Point of Coalescence for some Collatz Trajectories
Roy Burson
This paper is a numerical evaluation of some trajectories of the Collatz function. Specifically, I assess the coalescence points of each integer and $n\equiv…
Integer Representations and Trajectories of the 3x+1 Problem
Roy Burson
This paper studies certain trajectories of the Collatz function. I show that if for each odd number , then every positive integer $n \in \mathbb{N}\setminus 2^{\mat…