Smoluchowski Coagulation Equation with Velocity Dependence
Journal article, 2024
We introduce a variant of the Smoluchowski coagulation equation as a kinetic equation with both position and velocity variables, which arises as the scaling limit of a system of second-order microscopic coagulating particles. We focus on the rigorous study of the pde system in the spatially homogeneous case, proving existence and uniqueness under different initial conditions in suitable weighted spaces, investigating also the regularity of such solutions.
strongly continuous semigroup
droplet formation
nonlinear interaction
weighted Lebesgue spaces
Smoluchowski coagulation equation
inelastic collision
Author
Franco Flandoli
Scuola Normale Superiore di Pisa
Ruojun Huang
University of Münster
Andrea Papini
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
SIAM Journal on Mathematical Analysis
0036-1410 (ISSN) 10957154 (eISSN)
Vol. 56 4 5634-5677Subject Categories (SSIF 2011)
Probability Theory and Statistics
Mathematical Analysis
DOI
10.1137/22M1540594