Zobrazeno 1 - 10
of 31
pro vyhledávání: '"David Goluskin"'
Publikováno v:
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 380(2226)
Fluid dynamics is a research area lying at the crossroads of physics and applied mathematics with an ever-expanding range of applications in natural sciences and engineering. However, despite decades of concerted research efforts, this area abounds w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8dcb4dabcdc84317c4f15e71295e6f1
https://pubmed.ncbi.nlm.nih.gov/35527635
https://pubmed.ncbi.nlm.nih.gov/35527635
Publikováno v:
Physical review letters. 129(2)
Heat transport in turbulent thermal convection increases with 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 scaling ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30fc8ae1f2ba8619ffd12e0ba766dd02
https://pubmed.ncbi.nlm.nih.gov/35867450
https://pubmed.ncbi.nlm.nih.gov/35867450
Publikováno v:
Journal of Fluid Mechanics. 933
The central open question about Rayleigh–Bénard 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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63df76b72c0b4d6af23e19954d52af8d
https://doi.org/10.1017/jfm.2021.1042
https://doi.org/10.1017/jfm.2021.1042
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8afb9cf8de9a9083b814f77f78fe2778
http://arxiv.org/abs/2110.03079
http://arxiv.org/abs/2110.03079
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80db10685e958f0a64d6c1d44e93e268
Autor:
Jason J. Bramburger, David Goluskin
Publikováno v:
Proc Math Phys Eng Sci
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b3793edd69435d5bc009147eb6d45f0
https://doi.org/10.1098/rspa.2020.0450
https://doi.org/10.1098/rspa.2020.0450
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebc4bef14189e73477e5468968b1e118
http://arxiv.org/abs/2007.02530
http://arxiv.org/abs/2007.02530
Autor:
David Goluskin, Giovanni Fantuzzi
We study a convex optimization framework for bounding extreme events in nonlinear dynamical systems governed by ordinary or partial differential equations (ODEs or PDEs). This framework bounds from above the largest value of an observable along traje
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1720ce249de90e29e87e824d348e83f9
http://arxiv.org/abs/1907.10997
http://arxiv.org/abs/1907.10997
Verifying nonlinear stability of a laminar fluid flow against all perturbations is a central challenge in fluid dynamics. Past results rely on monotonic decrease of a perturbation energy or a similar quadratic generalized energy. None show stability
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79fa8973cb8d99590cdaed2e253ddfca