Current Project: Fluid Mechanics
During this past spring as an experiment and to satisfy my curiosity, I derived fluid mechanics from the underlying particle motion, while using the more standard derivation of fluid mechanics given in Fluid Mechanics by Kundo, Cohen and Dowling as a guide. My goal was to see if I could complete the derivation in a undirected or in this case semidirected scenario. In the end I was able to complete the derivation and once I finished it I began looking for similar derivations in books and articles. After some searching I found a derivation of fluid mechanics using a similar technique in the text book by Frank H. Shu The Physics of Astrophysics, Volume II: Gass Dynamics, the derivation is given in the second chapter. Now having completed this derivation of fluid mechanics and a previous derivation of the dynamics of strings I have some appreciation for difficulty of completing a derivation in an undirected manner. So with that in mind my goal for the summer is to complete similar derivations in fluid mechanics, to extend the derivation I have already completed and to do these derivations on my own so as to gain more experience in the process.
Completed Articles
Articles in Progress
 Fluid Mechanics from Particle Motion: Theoretical Applications
 Fluid Mechanics from Particle Motion: Computational Applications
Posts

Fluid Mechanics from Particle Motion
In January of 2016 I started taking my first class on fluid mechanics. In the first or second week of that class we started going...

String Dynamics
Since finishing my first class on classical mechanics I have been interested in deriving the equations of motion for strings. Before I begin it should...

PsiPy: Schrodinger's Equation (part 1)
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Memory and Markov
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An Improbable Prime
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The Making of a Markov Chain
Before getting into how to make Markov Chains, lets quickly get a refresh on what a Markov Chain is. A Markov Chain is a set...