Summary
A model of interacting particles suggested by the dynamic of interacting molecules in a gas-phase, with possibility of temporary absorption by a liquid layer at the boundary of the domain where they move is presented. The mathematical consistency of the model raises problems as to the existence and uniqueness of a non classical diffusion with sticky boundary and a new problem on non linear markovian diffusions with reflexion.
We present here these problems and the partial answers (concerning existence) which we know, following essentially the ideas of C. GRAHAM [4].
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© 1990 Kluwer Academic Publishers
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Metivier, M. (1990). On Problems in Stochastic Differential Equations Connected with Some Particular Type of Interacting Particles. In: Albeverio, S., Streit, L., Blanchard, P. (eds) Stochastic Processes and their Applications. Mathematics and Its Applications (Soviet Series), vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2117-7_14
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DOI: https://doi.org/10.1007/978-94-009-2117-7_14
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