A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
The compressible Navier-Stokes equations remain a cornerstone in the study of fluid dynamics, encapsulating the evolution of fluids whose density variations are significant. Recent advancements have ...
The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations. For nearly two centuries, all kinds of researchers ...
The Rocky Mountain Journal of Mathematics, Vol. 49, No. 5 (2019), pp. 1595-1615 (21 pages) W. Aggoune, H. Zahrouni and M. Potier-Ferry, High-order prediction ...
The control and stabilisation of systems described by the Navier–Stokes and parabolic equations represents an enthralling research domain that bridges advanced mathematical theory with practical ...
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 ...