3 problems

Let $r^{\bar\delta}(t,x)$ and $p^{\bar\delta}(t,x)$ solve the viscous system with parameters $\bar\delta=(\delta_1,\delta_2)$, where $\delta_j>0$. Consider any limit point…

Consider a rarefaction wave with field value $\vec{u}_{\mathsf{v}}$ on the ray $x=\mathsf{v}t$, and let $\vec{\Phi}(x,t)$ denote the integrated fluctuation field. Let…

Let $\kappa(L,\beta)$ denote the thermal conductivity of the anharmonic chain of length $L$ at inverse temperature $\beta$, defined by … Here $\nu_\epsilon$ is the invariant nonequ…