Claudia Lückert

Dr. Ruojun Huang (Universität Münster): Coagulation under environmental noise, and its consequence

Wednesday, 23.11.2022 14:15 im Raum M5

Mathematik und Informatik

Environmental noise in a continuum interacting particle system is a space-dependent noise acting simultaneously on all particles. In a joint work with Franco Flandoli, we prove that a system of locally interacting diffusions carrying discrete masses, subject to an environmental noise and undergoing mass coagulation, converges to a system of Stochastic Partial Differential Equations, with Smoluchowski-type nonlinearity. It opens the door to showing diffusion enhancement and ultimately coagulation enhancement under such a noise. Our study is motivated by the question whether a turbulent velocity field in the atmosphere accelerates rain droplets merging and favors rain. Our original model is too crude for this purpose and in subsequent work with Flandoli and Andrea Papini, we propose a modified model that includes also velocity variable, leading to a kinetic-type PDE. Numerically we demonstrate that, in our context, the more intense is the noise, the faster masses coagulate.

Angelegt am 02.11.2022 von Claudia Lückert
Geändert am 04.11.2022 von Claudia Lückert
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