The Euler and Navier-Stokes equations form the cornerstone of fluid dynamics, governing the motion of fluids under a wide range of conditions. The Euler equations describe inviscid flows where ...

Scientific progress is not usually straightforward. Researchers pursue and abandon lines of inquiry. Results languish. Theories take decades to cohere. But sometimes the accumulation of scientific ...

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

Annals of Mathematics, SECOND SERIES, Vol. 183, No. 2 (March, 2016), pp. 377-498 (122 pages) The fundamental "two-fluid" model for describing plasma dynamics is given by the Euler–Maxwell system, 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 ...

Dr. Alejandro Sarria began working at UNG during the fall of 2017. Among Alejandro’s research interests are the long-time behavior of special classes of solutions to nonlinear PDE’s from fluid ...

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 ...