5 problems

Let the transparent mass FPUT lattice be approximated by the corresponding KdV solution on the long time scale considered in the paper, and let the absolute approximation error be…

Let $m<d$, and consider the $(m,d+1)$-KdV flow on curves in $\mathbb{RP}^d$. A realization through subspace intersections is a construction in which an $(m-1)$-dimensional space is…

A KdV-type equation is an equation arising in the KdV hierarchy, and a pentagram-type map is a discrete map on polygons whose continuous limit produces an evolution equation. Discr…

The equation under consideration is a KdV-type equation with solution $u(t)$ in the energy space $H^1(\mathbb{R})$. A compact set means a fixed compact subset of the spatial line,…

Discrete KdV restriction conjecture. For every $\varepsilon>0$, there is a constant $C_p$ such that