SIAM Journal on Applied Mathematics, Vol. 35, No. 1 (Jul., 1978), pp. 97-116 (20 pages) The development of velocity profiles in the inlet region of channels or pipes is a classic problem of laminar ...

The axisymmetric Navier-Stokes equations describe the motion of incompressible fluids under the assumption of rotational symmetry around a fixed axis. This reduction in dimensional complexity retains ...

We consider a hyperbolic singular perturbation of the incompressible Navier Stokes equations in two space dimensions. The approximating system under consideration arises as a diffusive reseated ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...

Rose Yu has a plan for how to make AI better, faster and smarter — and it’s already yielding results. In math and computer science, researchers have long understood that some questions are ...