7 citations · 7 across the 2 of their papers we have counts for
4 papers · 1 filter
Hierarchies of N-Point Functions for Nonlinear Conservation Laws with Random Initial Data
Carey Caginalp
Nonlinear conservation laws subject to random initial conditions pose fundamental problems in the evolution and interactions of shocks and rarefactions. Using a discrete set of val…
Conservation Laws With Random and Deterministic Data
Carey Caginalp
The dynamics of nonlinear conservation laws have long posed fascinating problems. With the introduction of some nonlinearity, e.g. Burgers' equation, discontinuous behavior in the…
A Minimization Approach to Conservation Laws With Random Initial Conditions and Non-smooth, Non-strictly Convex Flux
Carey Caginalp
We obtain solutions to conservation laws under any random initial conditions that are described by Gaussian stochastic processes (in some cases discretized). We analyze the general…
Minimization Solutions to Conservation Laws with Non-smooth and Non-strictly Convex Flux
Carey Caginalp
Conservation laws are usually studied in the context of sufficient regularity conditions imposed on the flux function, usually and uniform convexity. Some results are prove…