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pro vyhledávání: '"Titi, ES"'
In the work, we consider the zero Mach number limit of compressible primitive equations in the domain $\mathbb{R}^2 \times 2\mathbb{T}$ or $\mathbb{T}^2 \times 2\mathbb{T}$. We identify the limit equations to be the primitive equations with the incom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcc975890c42da65f3594c316c1463cf
Generating high‐resolution flow fields is of paramount importance for various applications in engineering and climate sciences. This is typically achieved by solving the governing dynamical equations on high‐resolution meshes, suitably nudged tow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fd103242ab12b81dbda5d069730bc17
Our aim is to approximate a reference velocity field solving the two-dimensional Navier–Stokes equations (NSE) in the absence of its initial condition by utilizing spatially discrete measurements of that field, available at a coarse scale, and cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9a2fa8a61b4d0769f503dc9dcfe12bf
In this paper, we provide rigorous justification of the hydrostatic approximation and the derivation of primitive equations as the small aspect ratio limit of the incompressible three-dimensional Navier-Stokes equations in the anisotropic horizontal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c711c0b82e7709f3e70485cc63067665
Publikováno v:
Computational Geosciences
Computational Geosciences, 2022, ⟨10.1007/s10596-022-10180-4⟩
Computational Geosciences, 2022, ⟨10.1007/s10596-022-10180-4⟩
Obtaining accurate high-resolution representations of model outputs is essential to describe the system dynamics. In general, however, only spatially- and temporally-coarse observations of the system states are available. These observations can also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f41a0abea8db96d059a6bc9b5b3ec57
Autor:
Boutros, DW, Titi, ES
The first half of Onsager's conjecture states that the Euler equations of an ideal incompressible fluid conserve energy if $u (\cdot ,t) \in C^{0, θ} (\mathbb{T}^3)$ with $θ> \frac{1}{3}$. In this paper, we prove an analogue of Onsager's conjecture
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cb904bb1b3dbc3b2d69f6d9e765c7a2
Large scale dynamics of the oceans and the atmosphere are governed by the primitive equations (PEs). It is well-known that the three-dimensional viscous PEs is globally well-posed in Sobolev spaces. On the other hand, the inviscid PEs without rotatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b8dd1b4a0a3ecfaef661e4857973229
https://escholarship.org/uc/item/50k3p567
https://escholarship.org/uc/item/50k3p567
Funder: Einstein Stiftung Berlin; doi: http://dx.doi.org/10.13039/501100006188
Funder: Fondation de l’École Polytechnique; doi: http://dx.doi.org/10.13039/501100009454
This work is devoted to establishing the local-in-time well-posedness
Funder: Fondation de l’École Polytechnique; doi: http://dx.doi.org/10.13039/501100009454
This work is devoted to establishing the local-in-time well-posedness
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa1bf31ca478d5569a19cad82c934583
https://www.repository.cam.ac.uk/handle/1810/324167
https://www.repository.cam.ac.uk/handle/1810/324167
Publikováno v:
Communications in Mathematical Physics, vol 370, iss 1
We consider the incompressible Euler equations in a bounded domain in three space dimensions. Recently, the first two authors proved Onsager's conjecture for bounded domains, i.e., that the energy of a solution to these equations is conserved provide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7889738489cf2fc0ad70eb3b13ffbe6f
https://www.repository.cam.ac.uk/handle/1810/341813
https://www.repository.cam.ac.uk/handle/1810/341813
In this paper we survey the various implementations of a new data assimilation (downscaling) algorithm based on spatial coarse mesh measurements. As a paradigm, we demonstrate the application of this algorithm to the 3D Leray-α subgrid scale turbule
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::181b6cfb6f79fbfe1fcb88180a798452
https://escholarship.org/uc/item/2m56j2dr
https://escholarship.org/uc/item/2m56j2dr