activity
20122019
most citedOn Exact Solutions of the Navier-Stokes Equations for Uni-directional Flows

1 citations · 1 across the 3 of their papers we have counts for

collaborators

10 papers

physics.flu-dyn2019

Dimensional scaling of flame propagation in discrete particulate clouds

Fredric Y. K. Lam, XiaoCheng Mi, Andrew J. Higgins

The critical dimension necessary for a flame to propagate in suspensions of fuel particles in oxidizer is studied analytically and numerically. Two types of models are considered:…

math.GM2019

On regularity of the Euler equations in fluid dynamics

F. Lam

We assert that the solutions to the Cauchy problem of the inviscid vorticity equation remain regular and unique for any smooth initial data of finite energy. However, the primitive…

math.AP2019

The Navier-Stokes equations in primitive variables

F. Lam

The Navier-Stokes equations in the primitive formulation for incompressible flow describe the evolution of velocity and pressure, without recourse to vorticity. We show that, beyon…

physics.flu-dyn2018

The Navier-Stokes equations in periodic domains

F. Lam

In the present technical note, we establish that the setting of the primitive variables of the unsteady incompressible fluid dynamics is ill-formulated in spatially periodic domain…

physics.flu-dyn2018

Viscous flow regimes in unit square: Part 4. Vorticity dynamics from monopoles to multipoles

F. Lam

The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of t…

physics.flu-dyn2018

Viscous flow regimes in unit square: Part 3. Phenomena of leapfrogging and approaching among multiple vortex pairs

F. Lam

In the present note, we solved numerically the viscous vorticity equation of the initial-boundary value problem describing the classic Helmholtz phenomena of vortex interaction. In…