44 citations · 82 across the 5 of their papers we have counts for
5 papers
Coagulation-fragmentation model for animal group-size statistics
Pierre Degond, Jian-Guo Liu, Robert L. Pego
We study coagulation-fragmentation equations inspired by a simple model proposed in fisheries science to explain data for the size distribution of schools of pelagic fish. Although…
On generating functions of Hausdorff moment sequences
Jian-Guo Liu, Robert L. Pego
The class of generating functions for completely monotone sequences (moments of finite positive measures on ) has an elegant characterization as the class of Pick functions…
On Incompressible Navier-Stokes Dynamics: A New Approach for Analysis and Computation
Jian-Guo Liu, Jie Liu, Robert L. Pego
We show that in bounded domains with no-slip boundary conditions, the Navier-Stokes pressure can be determined in a such way that it is strictly dominated by viscosity. As a conseq…
Approach to self-similarity in Smoluchowski's coagulation equations
Govind Menon, Robert L. Pego
We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski's equations of coagulation for the solvable kernels , and . In addition to th…
Dynamical scaling in Smoluchowski's coagulation equations: uniform convergence
Govind Menon, Robert L. Pego
We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski's coagulation equations for the solvable kernels K(x,y)=2, x+y and xy. We prove the uniform conve…