# Department of Applied Mathematics and Theoretical Physics

## Publications

Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation
C Cao, Y Guo, ES Titi
– Journal of Differential Equations
(2020)
269,
8736
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
C Cao, J Li, ES Titi
– Physica D: Nonlinear Phenomena
(2020)
412,
132606
On the Well-posedness of Reduced $3D$ Primitive Geostrophic Adjustment Model with Weak Dissipation
C Cao, Q Lin, ES Titi
– Journal of Mathematical Fluid Mechanics
(2020)
22,
32
Well-posedness of strong solutions to the anelastic equations of stratified viscous flows
X Liu, ES Titi
– Journal of Mathematical Fluid Mechanics
(2020)
22,
39
Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data
X Liu, ES Titi
– Archive for Rational Mechanics and Analysis
(2020)
1
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes
S Hittmeir, R Klein, J Li, ES Titi
– Nonlinearity
(2020)
33,
3206
Asymptotic expansions in time for rotating incompressible viscous fluids
LT Hoang, ES Titi
– Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
(2020)
Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations: on sharpness of J.-L. Lions exponent
T Luo, ES Titi
– Calculus of Variations and Partial Differential Equations
(2020)
59,
92
Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the navier-stokes equations
B García-Archilla, J Novo, ES Titi
– SIAM Journal on Numerical Analysis
(2020)
58,
410
Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
C Bardos, P Gwiazda, A Świerczewska-Gwiazda, ES Titi, E Wiedemann
– Proceedings of the Royal Society A
(2019)
475,
20190289
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