论文标题

关于良好姿势差异模型的耦合 - 详细版本

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

论文作者

Colombo, Rinaldo M., Garavello, Mauro, Tandy, Matthew

论文摘要

考虑$ 2 $演变方程的耦合,每个方程都会产生全球流程。我们证明所得系统生成了一个新的全局过程。该语句可以应用于各种不同的微分方程。特别是,它还产生了捕食者 - 纯模型的良好姿势,其中耦合在差分方面和流行病学模型中,这不符合以前的良好姿势结果。

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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