57 citations · 221 across the 19 of their papers we have counts for
7 papers · 1 filter
Energy dissipation and resolution of steep gradients in one-dimensional Burgers flows
Chuong V. Tran, David G. Dritschel
Travelling-wave solutions of the inviscid Burgers equation having smooth initial wave profiles of suitable shapes are known to develop shocks (infinite gradients) in finite times.…
Effective degrees of nonlinearity in a family of generalized models of two-dimensional turbulence
Chuong V. Tran, David G. Dritschel, Richard K. Scott
We study the small-scale behavior of generalized two-dimensional turbulence governed by a family of model equations, in which the active scalar is advected by the i…
The number of degrees of freedom of three-dimensional Navier--Stokes turbulence
Chuong V. Tran
In Kolmogorov's phenomenological theory of turbulence, the energy spectrum in the inertial range scales with the wave number as and extends up to a dissipation wave…
Number of degrees of freedom of two-dimensional turbulence
Chuong V. Tran, Luke Blackbourn
We derive upper bounds for the number of degrees of freedom of two-dimensional Navier--Stokes turbulence freely decaying from a smooth initial vorticity field . This…
Local transfer and spectra of a diffusive field advected by large-scale incompressible flows
Chuong V. Tran
This study revisits the problem of advective transfer and spectra of a diffusive scalar field in large-scale incompressible flows in the presence of a (large-scale) source. By ``la…
Constraints on scalar diffusion anomaly in three-dimensional flows having bounded velocity gradients
Chuong V. Tran
This study is concerned with the decay behaviour of a passive scalar in three-dimensional flows having bounded velocity gradients. Given an initially smooth scalar distribution…