The compressible Navier-Stokes-Poisson equations constitute a fundamental mathematical framework that couples the classical compressible Navier-Stokes equations with a Poisson equation governing the ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

In this paper, we give a pointwise estimate of the uniform space-analyticity radius of solutions of the Navier-Stokes equation in terms of the vorticity magnitude as well as in terms of the Grashof ...

Estimates for the three α-models known as the LANS-α, Leray-α and Bardina models are found in terms a Reynolds number associated with a Navier-Stokes velocity field. They are tabulated for comparative ...

As we celebrate the International Year of Quantum Science and Technology (IYQ) in 2025, we look back on a century of quantum mechanics—a field that has fundamentally changed the way we understand ...

Erica Grace Cabanilla, my ERDT administrator, who took charge of all my stipends, reminded me gently that I am supposed to give my exit report on Jan. 26 as Visiting Researcher, although my ...

A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow. In Dr. Seuss’s book “The Cat in ...

Gifted centers on the Navier-Stokes problem, prompting many viewers of the 2017 drama to wonder what the unsolved math problem is â and whether real-life mathematicians have since solved it. Directed ...