Tenured assistant professor (lecturer) in the Analysis Group at Cardiff University

Contact: winterr6 (at) cardiff (dot) ac (dot) uk

Upcoming invited talks and visits

Research Interests

Kinetic theory for plasma

(Stochastic) Partial Differential Equations

Interacting particle systems

Statistical Mechanics

Regularity theory for nonlinear parabolic PDE

Statistical Mechanics and scaling limits

Selected recent invited talks

Mittag-Leffler Institute Stockholm (Link to videos), 2024

Institut Henri Poincaré, Paris, 2024

Kinetic-Net, Durham, 2024

ICIAM Tokyo, 2024

BIRS, Granada (Link to the Video), 2023

CIRM, France, November 2022

Banff, Canada, November 2022 (Link to the video)

Newton Institute Cambridge, March 2022

Publications

M. P. Gualdani, R. Winter, "A blow-down mechanism for the Landau-Coulomb equation", Preprint (2024)

S. Merino-Aceituno, C. Schmeiser, and R. Winter, "Stability of equilibria of the spatially inhomogeneous Vicsek-BGK equation across a bifurcation", Preprint (2024).

R. Höfer, R. Winter, "A fast point charge interacting with the screened Vlasov-Poisson system", Analysis&PDE (2024).

S. Simonella, and R. Winter, "Rigorous derivation of the Choh-Uhlenbeck equation", Preprint (2021).

M. Duerinckx, R. Winter, "Well-posedness of the Lenard-Balescu equation with smooth interactions", Archive for Rational Mechanics and Analysis (2023).

C. Le Bihan and R. Winter, "The grazing collisions limit from the linearized Boltzmann equation to the Landau equation for short-range potentials", Kinetic & Related Models (2023).

R. Winter, "Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on R3 subject to attractive background charges", Partial Differential Equations and Applications (2023).

A. Nota, J. Velázquez, R. Winter "Interacting particle systems with long range interactions: approximation by tagged particles in random fields "., Rendiconti Lincei - Matematica e Applicazioni (2022)

A. Di Stefano, S. Simonella, and R. Winter, "Pointwise decay of truncated correlations in chaotic states at low density", Preprint (2020).

A. Arroyo-Rabasa, R. Winter "Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge", Communications in Partial Differential Equations (2021)

A. Nota, J. Velázquez, R. Winter "Interacting particle systems with long-range interactions: scaling limits and kinetic equations ", Rendiconti Lincei - Matematica e Applicazioni

R. Winter: "Convergence to the Landau equation from the truncated BBGKY hierarchy in the weak-coupling limit", Journal of Differential Equations (2021)

A. Nota, R. Winter, B. Lods: "Kinetic description of a Rayleigh Gas with annihilation", Journal of Statistical Physics (2019)

J. Velázquez, R. Winter: “The two-particle correlation function for systems with long-range interactions”, Journal of Statistical Physics (2018)

J. Velázquez, R. Winter: “From a non-Markovian system to the Landau equation”, Communications in Mathematical Physics (2018)