3 problems

Let $\theta_0$ satisfy the hypotheses of the Hölder $1/2$ a priori estimate conjecture, and let $\theta$ be a vanishing-viscosity limit of solutions of … Here…

Let $\theta_0$ be initial data satisfying the hypotheses of the Hölder $1/2$ a priori estimate conjecture, and consider the supercritically dissipative Hilbert model … with…

Let $\theta$ be a bounded solution on $[0,T]$ of … where $H$ is the Hilbert transform. The $C^{1/2}$ Hölder seminorm measures the quotient $|\theta(t,x)-\theta(t,y)|/|x-y|^{1/2}$.…