The fractional calculus has been part of the mathematics and science literature for 310
years. However, it is only in the past decade or so that it has drawn the attention of …

Thermal mixing and stratification phenomena play major roles in the safety of reactor
systems with large enclosures, such as containment safety in current fleet of LWRs, long …

One of the most remarkable features of known nonstationary solutions to the incompressible
Euler equations is the phenomenon known as the Taylor hypothesis, which predicts that fine …

Vorticity dynamics of the three-dimensional incompressible Euler equations are cast into a
quaternionic representation governed by the Lagrangian evolution of the tetrad consisting of …

We study global well-posedness and regularity of solutions for a family of incompressible
three-dimensional Navier–Stokes-alpha-like models that employ fractional Laplacian …

Smooth solutions of the incompressible Euler equations are characterized by the property
that circulation around material loops is conserved. This is the Kelvin theorem. Likewise …

We prove the existence and uniqueness of solutions for a stochastic version of the three-
dimensional Lagrangian averaged Navier–Stokes equation in a bounded domain. To this …

One of the most remarkable features of known nonstationary solutions to the incompressible
Euler equations is the phenomenon known as the Taylor hypothesis, which predicts that …

This paper presents the first numerical implementation and tests of the Lagrangian-
averaged Navier–Stokes-alpha (LANS-α) turbulence model in a primitive equation ocean …

Eddy viscosity is employed throughout the majority of numerical fluid dynamical models, and
has been the subject of a vigorous body of research spanning a variety of disciplines. It has …