3 problems

Let $f$ be a flux with polynomial degeneracy $p\in\mathbb{N}$, meaning that its zero set of $f”$ is finite and, at each zero $w$, the least integer $p_w\geq 2$ such that…

Let $u_0\in L^\infty(\mathbb{R}^d)\cap L^1(\mathbb{R}^d)$, with $\\|u_0\\|_{L^\infty}<R_0$, and let $f=(f_1,\ldots,f_d)$ be a flux whose components are $C^1$ and satisfy the nondeg…

Ignat's kinetic formulation conjecture. Although this equation was proved for $p\in[1,2]$, it was conjectured that it continues to hold for every $p>2$. The surrounding proposition…