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Department of Applied Mathematics and Theoretical Physics

Publications

Cascades of scales: Applications and mathematical methodologies
L Delle Site, R Klein, M Lukáčová-Medvid’ová, ES Titi
– Journal of Mathematical Physics
(2024)
65,
120401
On the inadequacy of nudging data assimilation algorithms for non-dissipative systems: A computational examination of the Korteweg de-Vries and Lorenz equations
ES Titi, C Victor
(2024)
On the conservation of helicity by weak solutions of the 3D Euler and inviscid MHD equations
DW Boutros, ES Titi
(2024)
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
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Research Group

Nonlinear Dynamical Systems

Room

G1.12

Telephone

01223 337871