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Department of Applied Mathematics and Theoretical Physics

Publications

Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air
S Doppler, R Klein, X Liu, E Titi
(2024)
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to $H^1$ initial data
C Cao, J Li, ES Titi, D Wang
(2024)
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning
MAER Hammoud, N Raboudi, ES Titi, O Knio, I Hoteit
– Journal of Advances in Modeling Earth Systems
(2024)
16,
e2023MS004178
Derivation of a Generalized Quasi-Geostrophic Approximation for Inviscid Flows in a Channel Domain: The Fast Waves Correction
C Bardos, X Liu, ES Titi
– Communications in Mathematical Physics
(2024)
405,
164
Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum
X Liu, ES Titi, Z Xin
(2024)
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
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 - 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
– 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
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Research Group

Nonlinear Dynamical Systems

Room

G1.12

Telephone

01223 337871