Zobrazeno 1 - 10
of 719
pro vyhledávání: '"Titi, Edriss"'
Autor:
Boutros, Daniel W., Titi, Edriss S.
Classical solutions of the three-dimensional Euler equations of an ideal incompressible fluid conserve the helicity. We introduce a new weak formulation of the vorticity formulation of the Euler equations in which (by implementing the Bony paradiffer
Externí odkaz:
http://arxiv.org/abs/2410.00813
We establish here the local-in-time well-posedness of strong solutions with large initial data to a system coupling compressible atmospheric dynamics with a refined moisture model introduced in Hittmeir and Klein (Theor. Comput. Fluid Dyn. 32:137--16
Externí odkaz:
http://arxiv.org/abs/2408.15749
In this paper, we consider the initial-boundary value problem to the three-dimensional primitive equations for the oceanic and atmospheric dynamics with only horizontal eddy viscosities in the horizontal momentum equations and only vertical diffusivi
Externí odkaz:
http://arxiv.org/abs/2408.06932
This paper concerns the large time asymptotic behavior of solutions to the free boundary problem of the compressible primitive equations in atmospheric dynamics with physical vacuum. Up to second order of the perturbations of an equilibrium, we have
Externí odkaz:
http://arxiv.org/abs/2406.19259
Autor:
Hammoud, Mohamad Abed El Rahman, Raboudi, Naila, Titi, Edriss S., Knio, Omar, Hoteit, Ibrahim
Data assimilation (DA) plays a pivotal role in diverse applications, ranging from climate predictions and weather forecasts to trajectory planning for autonomous vehicles. A prime example is the widely used ensemble Kalman filter (EnKF), which relies
Externí odkaz:
http://arxiv.org/abs/2401.00916
Autor:
Koronaki, Eleni D., Evangelou, Nikolaos, Martin-Linares, Cristina P., Titi, Edriss S., Kevrekidis, Ioannis G.
This study presents a collection of purely data-driven workflows for constructing reduced-order models (ROMs) for distributed dynamical systems. The ROMs we focus on, are data-assisted models inspired by, and templated upon, the theory of Approximate
Externí odkaz:
http://arxiv.org/abs/2310.15816
Efficient downscaling of large ensembles of coarse-scale information is crucial in several applications, such as oceanic and atmospheric modeling. The determining form map is a theoretical lifting function from the low-resolution solution trajectorie
Externí odkaz:
http://arxiv.org/abs/2310.11945
Autor:
Nickl, Richard, Titi, Edriss S.
We consider a non-linear Bayesian data assimilation model for the periodic two-dimensional Navier-Stokes equations with initial condition modelled by a Gaussian process prior. We show that if the system is updated with sufficiently many discrete nois
Externí odkaz:
http://arxiv.org/abs/2307.08136
Autor:
Huysmans, Lucas, Titi, Edriss S.
We study the vanishing viscosity/diffusivity limit for the transport equation of a passive scalar $f(x,t)\in\mathbb{R}$ along a divergence-free vector field $u(x,t)\in\mathbb{R}^2$, given by $\frac{\partial f}{\partial t} + \nabla\cdot (u f) = 0$; an
Externí odkaz:
http://arxiv.org/abs/2307.00809
We develop a convex integration scheme for constructing nonunique weak solutions to the hydrostatic Euler equations (also known as the inviscid primitive equations of oceanic and atmospheric dynamics) in both two and three dimensions. We also develop
Externí odkaz:
http://arxiv.org/abs/2305.14505