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.
Colombo, R., Garavello, M., Tandy, M. (2023). On the coupling of well posed differential models. NONLINEAR ANALYSIS, 232(July 2023) [10.1016/j.na.2023.113290].
On the coupling of well posed differential models
Garavello M.;
2023
Abstract
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.
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