Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Nobili, Camilla"'
Autor:
Bleitner, Fabian, Nobili, Camilla
Publikováno v:
Journal of Fluid Mechanics 998 (2024) A24
We consider the two-dimensional Rayeigh-B\'enard convection problem between Navier-slip fixed-temperature boundary conditions and present a new upper bound for the Nusselt number. The result, based on a localization principle for the Nusselt number a
Externí odkaz:
http://arxiv.org/abs/2404.14936
This paper investigates the large-time behavior of a buoyancy-driven fluid without thermal diffusion under Navier-slip boundary conditions in a bounded domain with Lipschitz-continuous second derivatives. After establishing improved regularity for cl
Externí odkaz:
http://arxiv.org/abs/2309.05400
Autor:
Bleitner, Fabian, Nobili, Camilla
Publikováno v:
Modeling, Simulation and Optimization of Fluid Dynamic Applications. Lecture Notes in Computational Science and Engineering. 148 (2023) 1-19
Motivated by [7], we study the advection-hyperdiffusion equation in the whole space in two and three dimensions with the goal of understanding the decay in time of the $H^{-1}$- and $L^2$-norm of the solutions. We view the advection term as a perturb
Externí odkaz:
http://arxiv.org/abs/2302.13078
Autor:
Bleitner, Fabian, Nobili, Camilla
Publikováno v:
Nonlinearity 37 (2024) 035017
We consider two-dimensional Rayleigh-B\'enard convection with Navier-slip and fixed temperature boundary conditions at the two horizontal rough walls described by the height function $h$. We prove rigorous upper bounds on the Nusselt number $\text{Nu
Externí odkaz:
http://arxiv.org/abs/2301.00226
Autor:
Nobili, Camilla
In most results concerning bounds on the heat transport in the Rayleigh-B\'{e}nard convection problem no-slip boundary conditions for the velocity field are assumed. Nevertheless it is debatable, whether these boundary conditions reflect the behavior
Externí odkaz:
http://arxiv.org/abs/2112.15564
We study two-dimensional Rayleigh-B\'{e}nard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies with Rayleigh number $\rm{Ra}$, this estimate interpolates between t
Externí odkaz:
http://arxiv.org/abs/2109.13205
Autor:
Nobili, Camilla, Punzo, Fabio
We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where no boundary conditions are imposed. Under suitable assumptions on the operator, uniqueness is obtained for solutions that satisfy an appropriate integr
Externí odkaz:
http://arxiv.org/abs/2011.06867
Autor:
Nobili, Camilla, Pottel, Steffen
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:
http://arxiv.org/abs/2006.04614
Publikováno v:
Journal of Fluid Mechanics, 885:R4 (2020)
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:
http://arxiv.org/abs/1909.04936
Autor:
Nobili, Camilla, Seis, Christian
We study vanishing viscosity solutions to the axisymmetric Euler equations with (relative) vorticity in $L^p$ with $p>1$. We show that these solutions satisfy the corresponding vorticity equations in the sense of renormalized solutions. Moreover, we
Externí odkaz:
http://arxiv.org/abs/1906.07400