Lagrangian/Hamiltonian formalism for description of Navier-Stokes fluids

R. J. Becker

doi:10.1103/PhysRevLett.58.1419

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Lagrangian/Hamiltonian formalism for description of Navier-Stokes fluids

R. J. Becker

The University of Dayton Research Institute, Dayton, Ohio 45469-0001

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Phys. Rev. Lett. 58, 1419 – Published 6 April, 1987

DOI: https://doi.org/10.1103/PhysRevLett.58.1419

Abstract

A Lagrangian has been developed that leads to equations of motion which are isomorphic to the full Navier-Stokes equation, including dissipation. This Lagrangian has been developed to give a many-body description turbulence along the standard lines of most field theories.

References (6)

F. Mandel and G. Shaw, Quantum Field Theory (Wiley, New York, 1984).
Leo P. Kadanoff, Phys. Today 36, No. 12, 46 (1983).
H. Dekker, Phys. Rep. 80, 1 (1981).
A. Kyrala, Theoretical Physics (Sanders, Philadelphia, 1967).
Phillip M. Morse and K. Uno Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968).
Phillip M. Morse and Herman Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).

[c1] F. Mandel and G. Shaw, Quantum Field Theory (Wiley, New York, 1984).

[c2] Leo P. Kadanoff, Phys. Today 36, No. 12, 46 (1983).

[c3] H. Dekker, Phys. Rep. 80, 1 (1981).

[c4] A. Kyrala, Theoretical Physics (Sanders, Philadelphia, 1967).

[c5] Phillip M. Morse and K. Uno Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968).

[c6] Phillip M. Morse and Herman Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).

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Lagrangian/Hamiltonian formalism for description of Navier-Stokes fluids

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References (6)

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