47 citations · 193 across the 15 of their papers we have counts for
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physics.flu-dyn2009★ 12 cited
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.…
physics.flu-dyn2009★ 22 cited
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…