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- Averaged_Lagrangian abstract "In continuum mechanics, Whitham's averaged Lagrangian method – or in short Whitham's method – is used to study the Lagrangian dynamics of slowly-varying wave trains in an inhomogeneous (moving) medium.The method is applicable to both linear and non-linear systems. As a direct consequence of the averaging used in the method, wave action is a conserved property of the wave motion. In contrast, the wave energy is not necessarily conserved, due to the exchange of energy with the mean motion. However the total energy, the sum of the energies in the wave motion and the mean motion, will be conserved for a time-invariant Lagrangian. Further, the averaged Lagrangian has a strong relation to the dispersion relation of the system.The method is due to Gerald Whitham, who developed it in the 1960s. It is for instance used in the modelling of surface gravity waves on fluid interfaces, and in plasma physics.".
- Averaged_Lagrangian thumbnail Wave-06137.jpg?width=300.
- Averaged_Lagrangian wikiPageExternalLink andrews-mcintyre-waveac-jfm78.pdf.
- Averaged_Lagrangian wikiPageID "46464450".
- Averaged_Lagrangian wikiPageLength "28890".
- Averaged_Lagrangian wikiPageOutDegree "108".
- Averaged_Lagrangian wikiPageRevisionID "698180484".
- Averaged_Lagrangian wikiPageWikiLink Absolute_value.
- Averaged_Lagrangian wikiPageWikiLink Adiabatic_invariant.
- Averaged_Lagrangian wikiPageWikiLink Amplitude.
- Averaged_Lagrangian wikiPageWikiLink Angular_frequency.
- Averaged_Lagrangian wikiPageWikiLink Ansatz.
- Averaged_Lagrangian wikiPageWikiLink Argument_(complex_analysis).
- Averaged_Lagrangian wikiPageWikiLink Average.
- Averaged_Lagrangian wikiPageWikiLink Big_O_notation.
- Averaged_Lagrangian wikiPageWikiLink Calculus_of_variations.
- Averaged_Lagrangian wikiPageWikiLink Category:Continuum_mechanics.
- Averaged_Lagrangian wikiPageWikiLink Category:Lagrangian_mechanics.
- Averaged_Lagrangian wikiPageWikiLink Classical_mechanics.
- Averaged_Lagrangian wikiPageWikiLink Complex_number.
- Averaged_Lagrangian wikiPageWikiLink Conservation_law.
- Averaged_Lagrangian wikiPageWikiLink Conservative_vector_field.
- Averaged_Lagrangian wikiPageWikiLink Continuum_mechanics.
- Averaged_Lagrangian wikiPageWikiLink Curl_(mathematics).
- Averaged_Lagrangian wikiPageWikiLink Derivative.
- Averaged_Lagrangian wikiPageWikiLink Dimensionless_quantity.
- Averaged_Lagrangian wikiPageWikiLink Dispersion_relation.
- Averaged_Lagrangian wikiPageWikiLink Dissipation.
- Averaged_Lagrangian wikiPageWikiLink Energy.
- Averaged_Lagrangian wikiPageWikiLink Energy_density.
- Averaged_Lagrangian wikiPageWikiLink Envelope_(mathematics).
- Averaged_Lagrangian wikiPageWikiLink Euler–Lagrange_equation.
- Averaged_Lagrangian wikiPageWikiLink Field_(physics).
- Averaged_Lagrangian wikiPageWikiLink File:Wave-06137.jpg.
- Averaged_Lagrangian wikiPageWikiLink Flux.
- Averaged_Lagrangian wikiPageWikiLink Frequency.
- Averaged_Lagrangian wikiPageWikiLink Generalized_Lagrangian_mean.
- Averaged_Lagrangian wikiPageWikiLink Gerald_B._Whitham.
- Averaged_Lagrangian wikiPageWikiLink Gradient.
- Averaged_Lagrangian wikiPageWikiLink Gravity_wave.
- Averaged_Lagrangian wikiPageWikiLink Group_velocity.
- Averaged_Lagrangian wikiPageWikiLink Hamiltonian_mechanics.
- Averaged_Lagrangian wikiPageWikiLink Homogeneity_(physics).
- Averaged_Lagrangian wikiPageWikiLink Interface_(chemistry).
- Averaged_Lagrangian wikiPageWikiLink Invariant_(physics).
- Averaged_Lagrangian wikiPageWikiLink Kinetic_energy.
- Averaged_Lagrangian wikiPageWikiLink Klein–Gordon_equation.
- Averaged_Lagrangian wikiPageWikiLink Lagrangian_(field_theory).
- Averaged_Lagrangian wikiPageWikiLink Lagrangian_mechanics.
- Averaged_Lagrangian wikiPageWikiLink Linear_system.
- Averaged_Lagrangian wikiPageWikiLink Modulation.
- Averaged_Lagrangian wikiPageWikiLink Multiple-scale_analysis.
- Averaged_Lagrangian wikiPageWikiLink Noethers_theorem.
- Averaged_Lagrangian wikiPageWikiLink Nonlinear_system.
- Averaged_Lagrangian wikiPageWikiLink Origin_(mathematics).
- Averaged_Lagrangian wikiPageWikiLink Partial_derivative.
- Averaged_Lagrangian wikiPageWikiLink Partial_differential_equation.
- Averaged_Lagrangian wikiPageWikiLink Phase_(waves).
- Averaged_Lagrangian wikiPageWikiLink Plasma_(physics).
- Averaged_Lagrangian wikiPageWikiLink Potential_energy.
- Averaged_Lagrangian wikiPageWikiLink Principle_of_least_action.
- Averaged_Lagrangian wikiPageWikiLink Real_number.
- Averaged_Lagrangian wikiPageWikiLink Sine-Gordon_equation.
- Averaged_Lagrangian wikiPageWikiLink Slowly_varying_envelope_approximation.
- Averaged_Lagrangian wikiPageWikiLink Stokes_wave.
- Averaged_Lagrangian wikiPageWikiLink Time_derivative.
- Averaged_Lagrangian wikiPageWikiLink Transmission_medium.
- Averaged_Lagrangian wikiPageWikiLink Variational_principle.
- Averaged_Lagrangian wikiPageWikiLink Viscosity.
- Averaged_Lagrangian wikiPageWikiLink Wave_action_(continuum_mechanics).
- Averaged_Lagrangian wikiPageWikiLink Wave_packet.
- Averaged_Lagrangian wikiPageWikiLink Wavenumber.
- Averaged_Lagrangian wikiPageWikiLinkText "Averaged Lagrangian".
- Averaged_Lagrangian wikiPageWikiLinkText "averaged Lagrangian".
- Averaged_Lagrangian wikiPageWikiLinkText "phase–averaged Lagrangian".
- Averaged_Lagrangian date "April 2015".
- Averaged_Lagrangian indent ":".
- Averaged_Lagrangian wikiPageUsesTemplate Template:Citation.
- Averaged_Lagrangian wikiPageUsesTemplate Template:Cite_journal.
- Averaged_Lagrangian wikiPageUsesTemplate Template:Empty_section.
- Averaged_Lagrangian wikiPageUsesTemplate Template:EquationNote.
- Averaged_Lagrangian wikiPageUsesTemplate Template:EquationRef.
- Averaged_Lagrangian wikiPageUsesTemplate Template:Equation_box_1.
- Averaged_Lagrangian wikiPageUsesTemplate Template:NumBlk.
- Averaged_Lagrangian wikiPageUsesTemplate Template:Pad.
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- Averaged_Lagrangian wikiPageUsesTemplate Template:Reflist.
- Averaged_Lagrangian subject Category:Continuum_mechanics.
- Averaged_Lagrangian subject Category:Lagrangian_mechanics.
- Averaged_Lagrangian comment "In continuum mechanics, Whitham's averaged Lagrangian method – or in short Whitham's method – is used to study the Lagrangian dynamics of slowly-varying wave trains in an inhomogeneous (moving) medium.The method is applicable to both linear and non-linear systems. As a direct consequence of the averaging used in the method, wave action is a conserved property of the wave motion. In contrast, the wave energy is not necessarily conserved, due to the exchange of energy with the mean motion.".
- Averaged_Lagrangian label "Averaged Lagrangian".
- Averaged_Lagrangian sameAs Q19842966.
- Averaged_Lagrangian sameAs m.0134l9vh.
- Averaged_Lagrangian sameAs Q19842966.
- Averaged_Lagrangian wasDerivedFrom Averaged_Lagrangian?oldid=698180484.
- Averaged_Lagrangian depiction Wave-06137.jpg.
- Averaged_Lagrangian isPrimaryTopicOf Averaged_Lagrangian.