CJ on Mathematics and Science

A mathematical model of the Universe can take the form of Euler's equations for a gas supplemented with Newton's law of gravitatio...

Let there be a World of Finite Precision. Here is a summary of aspects of the 2nd Law of Thermodynamics discussed in recent posts:  2nd Law...

The Clay Institute Millennium Problem on Navier-Stokes equations is introduced as follows: This is the equation which governs the flow of fl...

Why is there a 2nd Law of Thermodynamics? In the book  Computational Thermodynamics a 2nd Law of Thermodynamics is formulated as follows i...

The fact that for slightly viscous incompressible bluff body flow with Reynolds number $Re>500.000$, Euler CFD with slip boundary conditi...

The Euler equations in velocity-pressure $(u,p)$ and $(x,t)$-coordinates are invariant under a rescaling of velocity $u$ into $\bar u =\frac...

I am working on a new article to be expanded to a book with the title Euler Was Right, Prandtl Was Wrong   which can be seen as a summary of...

Einsteins ideal as a Theory of Everything ToE is a mathematical model of physics without any parameters.  The standard model of particle phy...

Euler vs Prandtl In 1755 the great mathematician Euler formulated the Euler equations for slightly viscous nearly incompressible flow (of ai...

1. Cosmological Model  This is a continuation of previous posts on dark matter and  The Universe as Weakly Compressible Gas subject to...

In an effort to solve the Clay Navier-Stokes problem as formulated by Fefferman, Terence Tao in recent work seeks to construct a solution t...

Let me here present the counterexample to P = NP from the previous post in more concise form. We consider the Algorithm of solving the inc...