SUNY Polytechnic Institute (SUNY Poly) Professor of Physics Dr. Amir Fariborz recently published research titled, "An alternative to the Euler equation of rigid body rotational dynamics," in the ...

The compressible Euler equations form the cornerstone of fluid dynamics, describing the conservation of mass, momentum and energy in a compressible fluid. When augmented by damping effects, these ...

For anyone fascinated by powers and integers, there’s no shortage of problems to tackle, whether by ingenious logic or massive computer search. In 1769, while thinking about the problem now known as ...

The Euler equations constitute a fundamental set of hyperbolic partial differential equations that describe the motion of an inviscid fluid. In gas dynamics, these equations are instrumental in ...

Journal of Computational Mathematics, Vol. 22, No. 2, SPECIAL ISSUE DEDICATED TO THE 70TH BIRTHDAY OF PROFESSOR ZHONG-CI SHI (MARCH 2004), pp. 220-229 (10 pages) In this paper, we perform a nonlinear ...

TUCSON, March 19 (UPI) -- U.S. scientists Daniel Madden and Lee Jacobi have solved "Euler's equation of degree four" -- a puzzle that has stymied scientists for centuries. Madden, a University of ...

We prove uniqueness of the solution of the Euler equations with bounded vorticity for bounded simply connected planar domains with corners forming acute angles. Our strategy consists in mapping such ...

Many people find complex math puzzling, including some mathematicians. Recently, a mathematician has found solutions to a puzzle that has been around for centuries. They have found a way to generate ...

Billy Hudson, a mathematician, writes, "I was in a introductory Number Theory class when Professor David Ferguson told me that e^(ipi) + 1 = 0. Of course, Euler's equation had the same affect on me as ...