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Atmospheric undular bores

Adrian Constantin, R. S. Johnson

2023Mathematische Annalen27 citationsDOIOpen Access PDF

Abstract

We show that a recently-derived model for the propagation of nonlinear waves in the atmosphere admits undular bores as travelling-wave solutions. These solutions represent waves consisting of a damped oscillation behind a front that is preceded by a uniform breeze-type flow. The generation of such wave profiles requires a jump in the heat source across the leading front of the wave, a feature that is consistent with observations.

Topics & Concepts

Front (military)JumpOscillation (cell signaling)Atmosphere (unit)MechanicsWarm frontMeteorologyHeat waveFlow (mathematics)GeologyPhysicsChemistryClimate changeBiochemistryQuantum mechanicsOceanographyMeteorological Phenomena and SimulationsClimate variability and modelsTropical and Extratropical Cyclones Research
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