Abstract
We revisit the Hamiltonian formalism for incompressible flows as introduced by Oseledets. Our aim is to clarify some ambiguities in this formalism due to the nonintegrable singularity of the kernel which defines the Hamiltonian.
This is a preview of subscription content, log in via an institution to check access.
References
D. Benedetto, Convergence of velicity blobs method for the Euler equation, preprint (1994).
T. F. Buttke, Lagrangian numerical methods which preserve the Hamiltonian structure of incompressible fluid flow,Commun. Pure Appl. Math. (1993).
T. Kato, Non-stationary flows on viscous and ideal fluids in ℝ3,J. Funct. Anal. 9:296–309 (1972).
J. H. Moddocks and R. L. Pego, An unconstrained Hamiltonian formulation for incompressible fluid flow (1993), to appear.
V. I. Oseledets, On new way of writing the Navier-Stokes equation. The Hamiltonian formalism,Commun. Moscow Math. Soc. (1988) [transl.,Russ. Math. Surv. 44 (1989)].
Author information
Authors and Affiliations
Additional information
Communicated by R. Esposito
Rights and permissions
About this article
Cite this article
Benedetto, D. A remark on the Hamiltonian formalism for incompressible flows. J Stat Phys 79, 743–747 (1995). https://doi.org/10.1007/BF02184880
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02184880