Exact nonlinear mountain waves propagating upwards
Adrian Constantin
Abstract
Abstract We derive an exact solution to the nonlinear governing equations for mountain waves in the material (Lagrangian) framework. The explicit specification of the individual particle paths enables a detailed study of the flow consisting of oscillations superimposed on a mean current propagating upwards.
Topics & Concepts
Nonlinear systemLagrangianCurrent (fluid)Classical mechanicsFlow (mathematics)MechanicsPhysicsTraveling waveExact solutions in general relativityMathematical analysisMathematicsThermodynamicsQuantum mechanicsSeismic Waves and AnalysisFluid Dynamics and Turbulent FlowsNonlinear Photonic Systems