24 citations · 54 across the 10 of their papers we have counts for
4 papers · 1 filter
Transport and Equilibrium in Non-Conservative Systems
L. Chayes, H. K. Lei
We study, in finite volume, a grand canonical version of the McKean-Vlasov equation where the total particle content is allowed to vary. The dynamics is anticipated to minimize an…
Hamiltonian ODE's on a Space of Deficient Measures
L. Chayes, W. Gangbo, H. K. Lei
We continue the study (initiated in [1]) of Borel measures whose time evolution is provided by an interacting Hamiltonian structure. Here, the principal focus is the development an…
Degenerate diffusion with a drift potential: a viscosity solutions approach, joint work with I. C. Kim, truncated version
H. K. Lei
This is a truncated version of the paper "Degenerate diffusion with a drift potential: a viscosity solutions approach", co-authored with I. C. Kim. The purpose of this version is t…
Degenerate diffusion with a drift potential: a viscosity solutions approach
I. C. Kim, H. K. Lei
We introduce a notion of viscosity solutions for a nonlinear degenerate diffusion equation with a drift potential. We show that our notion of solutions coincide with the weak solut…