Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Goluskin, David"'
Two-dimensional horizontally periodic Rayleigh-B\'enard convection between stress-free boundaries displays two distinct types of states, depending on the initial conditions. Roll states are composed of pairs of counter-rotating convection rolls. Wind
Externí odkaz:
http://arxiv.org/abs/2308.04591
Autor:
Oeri, Hans, Goluskin, David
We describe an approach for finding upper bounds on an ODE dynamical system's maximal Lyapunov exponent among all trajectories in a specified set. A minimization problem is formulated whose infimum is equal to the maximal Lyapunov exponent, provided
Externí odkaz:
http://arxiv.org/abs/2212.07565
Publikováno v:
Phys. Rev. Lett. 129, 024501 (2022)
Heat transport in turbulent thermal convection increases with the thermal forcing, but in almost all studies the rate of this increase is slower than it would be if transport became independent of the molecular diffusivities -- the heat transport sca
Externí odkaz:
http://arxiv.org/abs/2111.10906
Publikováno v:
SIAM J. Optim. 33, 481-512 (2023)
We present a method for finding lower bounds on the global infima of integral variational problems, wherein $\int_\Omega f(x,u(x),\nabla u(x)){\rm d}x$ is minimized over functions $u\colon\Omega\subset\mathbb{R}^n\to\mathbb{R}^m$ satisfying given equ
Externí odkaz:
http://arxiv.org/abs/2110.03079
Publikováno v:
Chaos 31, 103102 (2021)
In dynamical systems governed by differential equations, a guarantee that trajectories emanating from a given set of initial conditions do not enter another given set can be obtained by constructing a barrier function that satisfies certain inequalit
Externí odkaz:
http://arxiv.org/abs/2106.13518
Publikováno v:
Journal of Fluid Mechanics 933 (2022) R4
The central open question about Rayleigh--B\'enard convection -- buoyancy-driven flow in a fluid layer heated from below and cooled from above -- is how vertical heat flux depends on the imposed temperature gradient in the strongly nonlinear regime w
Externí odkaz:
http://arxiv.org/abs/2008.08752
Publikováno v:
J. Fluid Mech. Rapids 905, R4 (2020)
Steady two-dimensional Rayleigh--B\'enard convection between stress-free isothermal boundaries is studied via numerical computations. We explore properties of steady convective rolls with aspect ratios $\pi/5\le\Gamma\le4\pi$, where $\Gamma$ is the w
Externí odkaz:
http://arxiv.org/abs/2007.02530
Autor:
Bramburger, Jason J., Goluskin, David
Publikováno v:
Proceedings of the Royal Society A 476, (2020) 20200450
Many monostable reaction-diffusion equations admit one-dimensional travelling waves if and only if the wave speed is sufficiently high. The values of these minimum wave speeds are not known exactly, except in a few simple cases. We present methods fo
Externí odkaz:
http://arxiv.org/abs/2006.05457
Publikováno v:
Physics D 415, 132748 (2020)
Upper bounds on time-averaged heat transport are obtained for an eight-mode Galerkin truncation of Rayleigh's 1916 model of natural thermal convection. Bounds for the ODE model---an extension of Lorenz's three-ODE system---are derived by constructing
Externí odkaz:
http://arxiv.org/abs/2004.07204