Abstract:
We consider an abstract, non-inertial particle coalescence model under the influence of a Gaussian white noise with prescribed space-covariance, modelling the influence of a turbulent flow. We prove a scaling limit for particle density that in particular shows that coalescence is enhanced by turbulence. We define a spatial surrogate of Stokes number, and use our theorem to show that coalescence is qualitatively increasing with respect to Stokes, for small-moderate values. Time permitting, we equip our model with physical constants and confirm, subject to approximations, a formula due to Saffman-Turner (1956) of the average coalescence rate. Based on a joint work with Franco Flandoli.
Biography:
Ruojun Huang is a postdoc at University of Münster, Germany. He obtained his Ph.D. at Stanford University. Subsequently, he held postdoc positions at New York University and Scuola Normale Superiore di Pisa.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
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