Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Theodore D Drivas"'
Publikováno v:
Nature Communications, Vol 13, Iss 1, Pp 1-10 (2022)
Turbulent flows are observed in atmosphere, ocean, and technology, with turbulent mixing due to stretching and folding of material elements. The authors analyze a geometric perspective of this process and uncover statistical properties of an ensemble
Externí odkaz:
https://doaj.org/article/994cc8cae9af41cd9854c0c2d058fadc
We present an analysis of the Navier-Stokes equations based on a spatial filtering technique to elucidate the multi-scale nature of fully developed turbulence. In particular, the advection of a band-pass-filtered small-scale contribution by larger sc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95928fbfe8a379705ab991993749b868
http://arxiv.org/abs/2307.11195
http://arxiv.org/abs/2307.11195
Publikováno v:
Archive for Rational Mechanics and Analysis. 243:1151-1180
We study anomalous dissipation in hydrodynamic turbulence in the context of passive scalars. Our main result produces an incompressible $C^\infty([0,T)\times \mathbb{T}^d)\cap L^1([0,T]; C^{1-}(\mathbb{T}^d))$ velocity field which explicitly exhibits
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff5d091a413d09d719fdf36a06257bf1
https://doi.org/10.1007/s00205-021-01736-2
https://doi.org/10.1007/s00205-021-01736-2
Publikováno v:
Annales mathématiques du Québec. 46:207-225
Two fluid configurations along a flow are conjugate if there is a one parameter family of geodesics (fluid flows) joining them to infinitesimal order. Geometrically, they can be seen as a consequence of the (infinite dimensional) group of volume pres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fdef4da57bace7a35c0a844ee3d09c5
https://doi.org/10.1007/s40316-021-00176-4
https://doi.org/10.1007/s40316-021-00176-4
Autor:
Joonhyun La, Theodore D. Drivas
Publikováno v:
Archive for Rational Mechanics and Analysis. 242:485-526
Reducing wall drag in turbulent pipe and channel flows is an issue of great practical importance. In engineering applications, end-functionalized polymer chains are often employed as agents to reduce drag. These are polymers which are floating in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10182b02c2dbb42ba68c50949a0c22fe
https://doi.org/10.1007/s00205-021-01689-6
https://doi.org/10.1007/s00205-021-01689-6
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :811-834
We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are H\"{o}lder regular or Lipschitz continuous with critical points, and for regular circular flows, establishing the sharpness of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5bcd1ff04eb093b64d13f1329cc15b3
https://doi.org/10.2422/2036-2145.201911_013
https://doi.org/10.2422/2036-2145.201911_013
Publikováno v:
Nonlinearity. 34:2296-2326
We consider a class of ordinary differential equations in $d$-dimensions featuring a non-Lipschitz singularity at the origin. Solutions of such systems exist globally and are unique up until the first time they hit the origin, $t = t_b$, which we ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f44d1257326859c11c6750b1658d5ed7
https://doi.org/10.1088/1361-6544/abbe60
https://doi.org/10.1088/1361-6544/abbe60
Publikováno v:
Communications on Pure and Applied Mathematics. 75:60-82
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b5ae1c984a1364363cb523e7bcdec1d
https://doi.org/10.1002/cpa.21940
https://doi.org/10.1002/cpa.21940
Publikováno v:
Journal of Statistical Physics. 179:1304-1342
We formulate a class of stochastic partial differential equations based on Kelvin’s circulation theorem for ideal fluids. In these models, the velocity field is randomly transported by white-noise vector fields, as well as by its own average over r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::372af97ca3c1c8eb05eae3c8fea159a6
https://doi.org/10.1007/s10955-020-02493-4
https://doi.org/10.1007/s10955-020-02493-4
We show that certain singular structures (H\"{o}lderian cusps and mild divergences) are transported by the flow of homeomorphisms generated by an Osgood velocity field. The structure of these singularities is related to the modulus of continuity of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6c5a0bd700f9fbe3ea1213396bc6746
http://arxiv.org/abs/2203.15554
http://arxiv.org/abs/2203.15554