MathDB6 problems
- 0 votes0 replies0 views
Arbitrary-Prandtl-number validity of internally heated convection bounds
Let denote the Prandtl number, and consider the bounds on heat transport for internally heated convection developed in this work. Arbitrary- bounds conjecture. To highest…
- 0 votes0 replies1 view
Primary-branch optimal heat transport conjecture for the HK hierarchy
Primary-branch optimal heat transport conjecture. For larger HK models, the equilibria on the primary branch transport heat optimally at all physically relevant values of…
- 0 votes0 replies1 view
Steady-state optimal heat transport conjecture for the Boussinesq equations
Steady-state optimal heat transport conjecture. Steady solutions maximize heat transport among all solutions of the Boussinesq equations.
- 0 votes0 replies0 views
Existence of NESS to arbitrary order in weakly nonlinear FPUT and KG chains
Consider a quantum anharmonic chain coupled to baths, with -FPUT, KG, or -FPUT nonlinearities, and let the nonlinear coupling be treated perturbatively. A nonequilibrium st…
- 0 votes0 replies0 views
Initial-state independence of NESS in weakly nonlinear FPUT and KG chains
Consider a quantum anharmonic chain with -FPUT, -FPUT, or KG nonlinearities, treated perturbatively in weak nonlinear coupling. Let the nonequilibrium steady-state (NESS) t…
- 0 votes0 replies0 views
Conjectured order-one Nusselt number in the chaotic regime
The chaotic-regime Nusselt-number conjecture.