5 problems

Let $u$ be a weak solution of the incompressible fluid equations with Hölder regularity $C^\alpha$. Compared with traditional statistical theory, Onsager proposed that energy dissi…

For a two-dimensional incompressible equation, let a simple state mean a steady state, traveling wave, periodic wave, or quasi-periodic wave. Simple-states conjecture. The long-tim…

Consider an elastic particle moving towards a rigid wall in an incompressible Stokes fluid with no-slip boundary conditions. Let internal mechanical energy storage refer to energy…

A physically meaningful rebound is a rebound that persists in the vanishing-viscosity limit, for an elastic body moving towards a wall in an incompressible fluid with no-slip bound…

Let $p$ denote the pressure field associated with a minimizer of the generalized incompressible-flow problem, where the pressure field has the regularity…