Desingularization of non local dynamic models by means of operatorial transformations and application to a flame model

In this paper, we show how suitable operatorial transformations can be used to simplify non local singular dynamic models. First, some basic notions on trajectories, operators and dynamic problems are introduced. Second, the diffusive transformation of non local models is briefly exposed. Then, time-scale transformations are introduced and some essentials properties are stated; the desingularization of models (in general non time local) is then studied. Finally, those transformations are applied on a singular implicit and non local flame model.