1 citations · 1 across the 5 of their papers we have counts for
8 papers
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…
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>…
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})…
Well-posedness of the two-component Fornberg-Whitham system in Besov spaces
Prerona Dutta
The present paper establishes well-posedness for the two-component Fornberg-Whitham system in Besov spaces. First the existence and uniqueness of its solution is proved, then it is…
Extending Lagrangian transformations to nonconvex scalar conservation laws
Prerona Dutta
The present paper studies a method of finding Lagrangian transformations, in the form of particle paths, for all scalar conservation laws having a smooth flux. These are found usin…
Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian
Stefano Bianchini, Prerona Dutta, Khai T. Nguyen
The present paper first aims to study the BV-type regularity for viscosity solutions of the Hamilton-Jacobi equation \[ u_t(t,x)+H\big(D_{x} u(t,x)\big)~=~0\qquad\forall (t,x)\in ]…
Metric entropy for functions of bounded total generalized variation
Rossana Capuani, Prerona Dutta, Khai T. Nguyen
We establish a sharp estimate for a minimal number of binary digits (bits) needed to represent all bounded total generalized variation functions taking values in a general totally…
Covering numbers for bounded variation functions
Prerona Dutta, Khai T. Nguyen
In this paper, we provide upper and lower estimates for the minimal number of functions needed to represent a bounded variation function with an accuracy of epsilon with respect to…