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math.AP2019
Qualitative Properties of Mathematical Model For Data Flow
C. D. Hauck, M. Herty, G. Visconti
In this paper, properties of a recently proposed mathematical model for data flow in large-scale asynchronous computer systems are analyzed. In particular, the existence of special…
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…