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 visit ETH Zurich (invited by Prof. Mikaela Iacobelli), September 2025
Isaac Newton Institute Cambridge, Retreat program, December 2025
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
Analysis seminar NUS Singapore
as visiting researcher at the Okinawa Institute of Science and Technology (Japan) August-November 2024
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
S. Merino-Aceituno, C. Schmeiser, and R. Winter, "Stability of equilibria of the spatially inhomogeneous Vicsek-BGK equation across a bifurcation", to appear in SIAM Journal on Mathematical Analysis, 2025.
M. P. Gualdani, R. Winter, "A blow-down mechanism for the Landau-Coulomb equation", Journal of Function Analysis (2025).
R. Höfer, R. Winter, "A fast point charge interacting with the screened Vlasov-Poisson system", Analysis&PDE (2024).
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. 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)
Preprints
K. Matthies, R. Winter, "Improved geometric and recollision estimates for the invariance principle of the random Lorentz gas",.
S. Simonella, and R. Winter, "Pointwise decay of truncated correlations in chaotic states at low density"
S. Simonella, and R. Winter, "Rigorous derivation of the Choh-Uhlenbeck equation"