245 citations · 388 across the 12 of their papers we have counts for
6 papers · 1 filter
An integrable hierarchy, parametric solution and traveling wave solution
Darryl D. Holm, Zhijun Qiao
This paper gives an integrable hierarchy of nonlinear evolution equations. In this hierarchy there are the following representative equations: \beqq & & u_t=\pa^5_x u^{-{2/3}}, & &…
Commutator-errors in large-eddy simulation
Bernard J. Geurts, Darryl D. Holm
A new formulation is derived for the commutator-errors in large-eddy simulation of incompressible flow. These commutator-errors arise from the application of non-uniform filters to…
On the non-integrability of a fifth order equation with integrable two-body dynamics
D. D. Holm, A. N. W. Hone
We consider the fifth order partial differential equation (PDE) , which is a generalization of the integrab…
Integrable hierarchy, constrained systems, and parametric and peaked stationary solutions
Darryl D. Holm, Zhijun Qiao
This paper gives a new integrable hierarchy of nonlinear evolution equations. The DP equation: , proposed recently by Desgaperis and Procesi \cite{DP[…
A New Integrable Equation with Peakon Solutions
A. Degasperis, D. D. Holm, A. N. W. Hone
We consider a new partial differential equation, of a similar form to the Camassa-Holm shallow water wave equation, which was recently obtained by Degasperis and Procesi using the…
Alpha-modeling strategy for LES of turbulent mixing
Bernard J. Geurts, Darryl D. Holm
The -modeling strategy is followed to derive a new subgrid parameterization of the turbulent stress tensor in large-eddy simulation (LES). The LES- modeling yields an explici…