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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.AP2025
On the rate of convergence in superquadratic Hamilton--Jacobi equations with state constraints
Prerona Dutta, Khai T. Nguyen, Son N. T. Tu
In this paper, we investigate the convergence rate in the vanishing viscosity limit for solutions to superquadratic Hamilton--Jacobi equations with state constraints. For every $p>…
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})…