Smoluchowski Coagulation Equation with Velocity Dependence
Artikel i vetenskaplig tidskrift, 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
Författare
Franco Flandoli
Scuola Normale Superiore di Pisa
Ruojun Huang
Universität Münster
Andrea Papini
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
SIAM Journal on Mathematical Analysis
0036-1410 (ISSN) 10957154 (eISSN)
Vol. 56 4 5634-5677Ämneskategorier (SSIF 2011)
Sannolikhetsteori och statistik
Matematisk analys
DOI
10.1137/22M1540594