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Department of Applied Mathematics and Theoretical Physics

Publications

Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations
DW Boutros, S Markfelder, ES Titi
– Journal of Nonlinear Science
(2024)
34,
68
Rigorous justification of the hydrostatic approximation limit of viscous compressible flows
X Liu, ES Titi
– Physica D : Non-linear phenomena
(2024)
464,
134195
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era
ED Koronaki, N Evangelou, CP Martin-Linares, ES Titi, IG Kevrekidis
– Journal of Computational Physics
(2024)
506,
112910
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm
E Carlson, A Larios, ES Titi
– Journal of Nonlinear Science
(2024)
34,
37
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning
MAER Hammoud, N Raboudi, ES Titi, O Knio, I Hoteit
(2024)
Global well-posedness of a three-dimensional Brinkman-Forchheimer-BĂ©nard convection model in porous media
ES Titi, S Trabelsi
– Discrete and Continuous Dynamical Systems: Series S
(2024)
17,
1857
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era
ED Koronaki, N Evangelou, CP Martin-Linares, ES Titi, IG Kevrekidis
(2023)
Downscaling Using CDAnet Under Observational and Model Noises: The Rayleigh-Benard Convection Paradigm
MAER Hammoud, ES Titi, I Hoteit, O Knio
(2023)
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes
S Hittmeir, R Klein, J Li, ES Titi
– Journal of Nonlinear Science
(2023)
33,
98
On energy conservation for the hydrostatic Euler equations: an Onsager conjecture
DW Boutros, S Markfelder, ES Titi
– Calculus of Variations and Partial Differential Equations
(2023)
62,
219
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Research Group

Nonlinear Dynamical Systems

Room

G1.12

Telephone

01223 337871