1 citations · 1 across the 4 of their papers we have counts for
5 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…
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})…
Weak diffeomorphisms and solutions to conservation laws
John Holmes, Barbara Keyfitz, Feride Tiglay
Evolution equations which describe the changes in a velocity field over time have been classically studied within the Eulerian or Lagrangian frame of reference. Classically, these…
Nonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on
John Holmes, Barbara Lee Keyfitz, Feride Tiglay
The Cauchy problem for the two dimensional compressible Euler equations with data in the Sobolev space is known to have a unique solution of the same Sobolev cla…
Nonuniform dependence on initial data for compressible gas dynamics: The periodic Cauchy problem
Barbara Lee Keyfitz, Feride Tiglay
We start with the classic result that the Cauchy problem for ideal compressible gas dynamics is locally well posed in time in the sense of Hadamard; there is a unique solution that…