Rishabh Gvalani's Home Page

I am a post-doctoral research associate at the Max Planck Institute in Leipzig. I obtained my PhD in Mathematics in June, 2020 from Imperial College London, under the supervision of Greg Pavliotis and José A. Carrillo.

I work mainly at the intersection of the analysis and probability with an interest towards applications to problems from mathematical physics. Specifically, I am interested in understanding the qualitative and quantitative properties of interacting particle systems using techniques from optimal transport, PDEs, and stochastic analysis. Other topics I am interested in include large deviations theory, mathematical fluid mechanics, and kinetic equations.

Rishabh Gvalani

E2 07, Inselstraße 22

Max-Planck-Institut für Mathematik in den Naturwissenschaften

04103, Leipzig

Email

- with José A. Carrillo and Jeremy Wu. An invariance principle for gradient flows in the space of probability measures. [ arXiv ]
- with Matias G. Delgadino and Grigorios A. Pavliotis. On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. [ arXiv ]
- with José A. Carrillo. Phase transitions in nonlinear nonlocal aggregation-diffusion equations. [ arXiv ]
- with André Schlichting. Barriers of the McKean-Vlasov energy via a mountain pass theorem in the space of probability measures.
*Journal of Functional Analysis*[ arXiv | doi ] - with José A. Carrillo, Grigorios A. Pavliotis, and André Schlichting. Long-time behaviour and phase transitions for the McKean–Vlasov equation on the torus.
*Archive for Rational Mechanics and Analysis*[ arXiv | doi ] - with Miguel A. Durán-Olivenca, Serafim Kalliadasis, and Grigorios A. Pavliotis .Instability, Rupture and Fluctuations in Thin Liquid Films: Theory and Computations.
*Journal of Statistical Physics*[ arXiv | doi ]