Unsolved Problems

Showing 1-6 of 6 problems

Prove or give a counterexample: Do solutions to the Navier–Stokes equations in three dimensions always exist and remain smooth for all time?...

Do smooth initial data for 3D Navier-Stokes equations yield smooth solutions for all time?...

Is the Mandelbrot set locally connected?...

Does every regular compact contact-type level set carry a periodic orbit?...

If a billiard table is strictly convex and integrable, must its boundary be an ellipse?...

Do smooth solutions to Navier-Stokes equations exist globally in 3D? Or do finite-time singularities occur?...