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- Title
Coagulation dynamics under environmental noise: Scaling limit to SPDE.
- Authors
Flandoli, Franco; Ruojun Huang
- Abstract
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 (SPDEs) with Smoluchowski-type nonlinearity. Existence, uniqueness and regularity of the SPDEs are also proven.
- Subjects
STOCHASTIC partial differential equations; UNIQUENESS (Mathematics); NOISE (Work environment); MATHEMATICAL regularization; NONLINEAR analysis
- Publication
ALEA. Latin American Journal of Probability & Mathematical Statistics, 2022, Vol 19, Issue 2, p1241
- ISSN
1980-0436
- Publication type
Article
- DOI
10.30757/ALEA.v19-51