An averaged Lagrangian method for dissipative wavetrains

Details An averaged Lagrangian method for dissipative wavetrains An averaged Lagrangian method for dissipative wavetrains

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976rspsa.349..277j&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 349, no. 1658, May 25, 1976, p. 277-287. Navy-supported research.

Mathematics

6

Euler-Lagrange Equation, Irreversible Processes, Variational Principles, Wave Dispersion, Wave Propagation, Energy Dissipation, Euler Equations Of Motion, Flow Theory, Operators (Mathematics), Partial Differential Equations, Perturbation Theory

Scientific paper

The averaged Lagrangian method for analyzing slowly varying nonlinear wavetrains is modified to include cases with small dissipation. To do this, a pseudovariational principle introduced by Prigogine (1954) is used in which the Lagrangian depends on a function to be varied and the solution of the problem; this can be used to describe irreversible processes. Examples of applications to both ordinary and partial differential equations are presented.

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