Abstract
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 weak solutions based on propagating fronts is established. Qualitative properties of these solutions are investigated, both theoretically and numerically.
| Original language | English |
|---|---|
| Pages (from-to) | 513-533 |
| Number of pages | 21 |
| Journal | Networks and Heterogeneous Media |
| Volume | 16 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2021 |
Funding
Acknowledgments. MH and GV thank the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) for the financial support through 20021702/ GRK2326, 333849990/IRTG-2379, HE5386/14,15,18-1,19-1,22-1 and under Germany’s Excellence Strategy EXC-2023 Internet of Production 390621612. The funding through HIDSS-004 is acknowledged. This work has been supported also by the US National Science Foundation, RNMS (KI-Net) grant 11-07444, and the U.S. Department of Energy, Office of Advanced Scientific Computing Research. The work of CDH was performed at the Oak Ridge National Laboratory, which is managed by UT-Battelle, LLC under Contract No. De-AC05-00OR22725.
Keywords
- Conservation laws
- Data flow
- Front propagation
- Predictive performance
- Weak solutions