Mathematics Problem Archive

Do solutions to the 3D Euler equations for incompressible fluid flow remain smooth for all time, given smooth initial data?...

Extend classical fluid dynamics to handle complex substances like foams, suspensions, gels, and liquid crystals....

Determine when the minimizer $y^*$ in Theorem 2.1 of the source is smooth....

Is the global attractor of the periodically forced two-dimensional Navier–Stokes equations conjugate to a smooth finite-dimensional dynamical system? ...