activity
20162026
most citedLong-time behaviour and phase transitions for the McKean--Vlasov equation on the torus

112 citations · 209 across the 18 of their papers we have counts for

collaborators
Showing 2019Show all

2 papers · 1 filter

math.AP2019

Phase transitions for nonlinear nonlocal aggregation-diffusion equations

José A. Carrillo, Rishabh S. Gvalani

We are interested in studying the stationary solutions and phase transitions of aggregation equations with degenerate diffusion of porous medium-type, with exponent $1 < m < \infty…

math.AP2019★ 12 cited

Barriers of the McKean--Vlasov energy via a mountain pass theorem in the space of probability measures

Rishabh S. Gvalani, André Schlichting

We show that the empirical process associated with a system of weakly interacting diffusion processes exhibits a form of noise-induced metastability. The result is based on an anal…