2 papers
math.AP2026
Weak Diffeomorphisms and Extremals for Scalar Conservation Laws
Prerona Dutta, Barbara Lee Keyfitz
Scalar conservation laws in one space variable allow a Lagrangian (particle path) formulation. The Lagrangian trajectory in the infinite-dimensional group of diffeomorphisms on the…
math.AP2024
Non-uniform dependence on periodic initial data for the two-component Fornberg-Whitham system in Besov spaces
Prerona Dutta, Barbara Lee Keyfitz
This paper establishes non-uniform continuity of the data-to-solution map in the periodic case, for the two-component Fornberg-Whitham system in Besov spaces $B^s_{p,r}(\mathbb{T})…