1 citations · 4 across the 7 of their papers we have counts for
Showing 2018 · math.APShow all
3 papers · 2 filters
math.AP2018
Analysis of the Zero Relaxation Limit of Systems of Hyperbolic Conservation Laws with Random Initial Data
James M. Scott, M. Paul Laiu, Cory D. Hauck
We show the convergence of the zero relaxation limit in systems of hyperbolic conservation laws with stochastic initial data. Precisely, solutions converge to a soluti…
math.AP2018
A fractional Korn-type inequality
James Scott, Tadele Mengesha
We show that a class of spaces of vector fields whose semi-norms involve the magnitude of "directional" difference quotients is in fact equivalent to the class of fractional Sobole…
math.AP2018
Solvability of nonlocal systems related to peridynamics
Moritz Kassmann, Tadele Mengesha, James Scott
In this work, we study the Dirichlet problem associated with a strongly coupled system of nonlocal equations. The system of equations comes from a linearization of a model of perid…