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 ...

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 new mixed variational formulation for the Navier-Stokes equations with constant density and variable viscosity depending nonlinearly on the gradient of velocity, is proposed and analyzed here. Our ...

Several bounds on the solutions and the pressure are obtained for regular solutions to the Navier-Stokes equations in two and three dimensions on the whole space. More precisely, we obtain L1 ...

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 ...

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 ...

Equations are the bedrock of science, expressing how numbers or physical properties relate at a fundamental level. Without equations, most of our technology would never have been invented. We may have ...

Back in the year 2000, the Clay Mathematics Institute announced the “Millennium Prize problems”, which is basically a group of the most important maths problems that still remain unsolved. The ...