Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Camilla Nobili"'
Autor:
Camilla Nobili
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 1, Pp 1-41 (2023)
In most results concerning bounds on the heat transport in the Rayleigh-Bénard convection problem no-slip boundary conditions for the velocity field are assumed. Nevertheless it is debatable, whether these boundary conditions reflect the behavior of
Externí odkaz:
https://doaj.org/article/2d6165e18cde4527b65d00fcbf69d15b
Autor:
Camilla Nobili, Christian Seis
Publikováno v:
Mathematische Annalen. 382:1-36
We study vanishing viscosity solutions to the axisymmetric Euler equations without swirl with (relative) vorticity in $$L^p$$ L p with $$p>1$$ p > 1 . We show that these solutions satisfy the corresponding vorticity equations in the sense of renormal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5329217d0e95273ba1351bdbeea34f7
https://doi.org/10.1007/s00208-020-02050-0
https://doi.org/10.1007/s00208-020-02050-0
Publikováno v:
Physica D: Nonlinear Phenomena. 445:133640
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3746c08b0849d7bd6d6ddea3716f3a33
https://doi.org/10.1016/j.physd.2022.133640
https://doi.org/10.1016/j.physd.2022.133640
Autor:
Camilla Nobili, Steffen Pottel
An algebraic lower bound on the energy decay for solutions of the advection-diffusion equation in $\mathbb{R}^d$ with $d=2,3$ is derived using the Fourier splitting method. Motivated by a conjecture on mixing of passive scalars in fluids, a lower bou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4812c3a62f581080726e94f436a37196
http://arxiv.org/abs/2006.04614
http://arxiv.org/abs/2006.04614
Publikováno v:
SIAM Journal on Mathematical Analysis
In the first part of this paper we establish a uniqueness result for continuity equations with velocity field whose derivative can be represented by a singular integral operator of an $L^1$ function, extending the Lagrangian theory in \cite{BouchutCr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a74aad1bf117127b9e696deb03b67e11
https://doi.org/10.1137/17m1130988
https://doi.org/10.1137/17m1130988
New bounds on the vertical heat transport for Bénard–Marangoni convection at infinite Prandtl number
Publikováno v:
R4-12
R4-1
R4-1
We prove a new rigorous upper bound on the vertical heat transport for B\'enard-Marangoni convection of a two- or three-dimensional fluid layer with infinite Prandtl number. Precisely, for Marangoni number $Ma \gg 1$ the Nusselt number $Nu$ is bounde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76fe8fa7f26e8551c01b6b74c595c06c
https://doi.org/10.1017/jfm.2019.1029
https://doi.org/10.1017/jfm.2019.1029
Publikováno v:
Journal of Differential Equations. 260:5589-5626
In a $d-$dimensional strip with $d\geq 2$, we study the non-stationary Stokes equation with no-slip boundary condition in the lower and upper plates and periodic boundary condition in the horizontal directions. In this paper we establish a new maxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfda1c129827afdf6ca01ddb9c61dd82
https://doi.org/10.1016/j.jde.2015.12.010
https://doi.org/10.1016/j.jde.2015.12.010
Publikováno v:
Mathematical Thermodynamics of Complex Fluids ISBN: 9783319675992
Consider a fluid between two parallel plates of unit distance, heated from below and cooled from above with unit temperature difference. The dynamics inside the container are well described by the following system of partial differential equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::770a36be0802f6e70565f19982ea27e2
https://doi.org/10.1007/978-3-319-67600-5_3
https://doi.org/10.1007/978-3-319-67600-5_3