Theory and Modern Applications
Table 2 Summary of functions used in the model for evolution of commercial ships
From: Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime
Item | Meaning | Comment |
|---|---|---|
η | kernel to compute the density of commercial ships | smooth and globally Lipschitz |
v | velocity as a function of the density | Lipschitz continuous |
\(v^{N} = (v^{N}_{1},\dots,v^{N}_{N})\) | obtained from η and v | Lipschitz continuous, with Lipschitz constant independent of N |