On the Coupling of Well Posed Differential Models -- Detailed Version

Autor: Colombo, Rinaldo M., Garavello, Mauro, Tandy, Matthew
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: Consider the coupling of $2$ evolution equations, each generating a global process. We prove that the resulting system generates a new global process. This statement can be applied to differential equations of various kinds. In particular, it also yields the well posedness of a predator-prey model, where the coupling is in the differential terms, and of an epidemiological model, which does not fit previous well posedness results.
Comment: 46 pages
Databáze: arXiv