13 citations · 39 across the 14 of their papers we have counts for
15 papers
Tauberian identities and the connection to Wile E. Coyote physics
Roberto Camassa, Richard M. McLaughlin
The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of…
Dispersion induced by unsteady diffusion-driven flow in parallel-plate channel
Lingyun Ding, Richard M. McLaughlin
We investigate diffusion-driven flows in a parallel-plate channel domain with linear density stratification, which arise from the combined influence of gravity and diffusion in den…
Correlation function of a random scalar field evolving with a rapidly fluctuating Gaussian process
Jared C. Bronski, Lingyun Ding, Richard M. McLaughlin
We consider a scalar field governed by an advection-diffusion equation (or a more general evolution equation) with rapidly fluctuating, Gaussian distributed random coefficients. In…
Critical density triplets for the arrestment of a sphere falling in a sharply stratified fluid
Roberto Camassa, Lingyun Ding, Richard M. McLaughlin +3
We study the motion of a rigid sphere falling in a two-layer stratified fluid under the action of gravity in the potential flow regime. Experiments at a moderate Reynolds number of…
Determinism and invariant measures for diffusing passive scalars advected by unsteady random shear flows
Lingyun. Ding, Richard M. McLaughlin
Here we study the long time behavior of an advection-diffusion equation with a general time varying (including random) shear flow imposing no-flux boundary conditions on channel wa…
Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography
David M. Ambrose, Roberto Camassa, Jeremy L. Marzuola +3
We present two accurate and efficient algorithms for solving the incompressible, irrotational Euler equations with a free surface in two dimensions with background flow over a peri…