76 citations · 669 across the 27 of their papers we have counts for
4 papers · 1 filter
Steady Rayleigh--Bénard convection between no-slip boundaries
Baole Wen, David Goluskin, Charles R. Doering
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…
Steady Rayleigh--Bénard convection between stress-free boundaries
Baole Wen, David Goluskin, Matthew LeDuc +2
Steady two-dimensional Rayleigh--Bénard convection between stress-free isothermal boundaries is studied via numerical computations. We explore properties of steady convective rolls…
Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization
Jason J. Bramburger, David Goluskin
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…
Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization
Matthew L. Olson, David Goluskin, William W. Schultz +1
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---a…