23 citations · 61 across the 7 of their papers we have counts for
7 papers
Finite Size Effects in Addition and Chipping Processes
Roman R. Dyachenko, Sergey A. Matveev, P. L. Krapivsky
We investigate analytically and numerically a system of clusters evolving via collisions with clusters of minimal mass (monomers). Each collision either leads to the addition of th…
Steady oscillations in aggregation-fragmentation processes
N. V. Brilliantov, W. Otieno, S. A. Matveev +3
We report surprising steady oscillations in aggregation-fragmentation processes. Oscillating solutions are observed for the class of aggregation kernels …
Aggregation in non-uniform systems with advection and localized source
Rishat R. Zagidullin, Alexander P. Smirnov, Sergey A. Matveev +2
We explore analytically and numerically agglomeration driven by advection and localized source. The system is inhomogeneous in one dimension, viz. along the direction of advection.…
Aggregation kinetics at sedimentation: the impact of particles diffusion
Rishat R. Zagidullin, Alexander P. Smirnov, Sergey A. Matveev +1
We investigate the aggregation kinetics of sedimenting particles theoretically and numerically, using the advection-diffusion equation. Agglomeration, caused by both transport mech…
Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics
A. Kalinov, A. I. Osinsky, S. A. Matveev +2
We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We t…
Hopf bifurcation in addition-shattering kinetics
Stanislav S. Budzinskiy, Sergey A. Matveev, Pavel L. Krapivsky
In aggregation-fragmentation processes, a steady state is usually reached in the long time limit. This indicates the existence of a fixed point in the underlying system of ordinary…
Model reduction in Smoluchowski-type equations
Ivan V. Timokhin, Sergey A. Matveev, Eugene E. Tyrtyshnikov +1
In this paper we utilize the Proper Orthogonal Decomposition (POD) method for model order reduction in application to Smoluchowski aggregation equations with source and sink terms.…