Toggle Main Menu Toggle Search

Open Access padlockePrints

Atmospheric undular bores

Lookup NU author(s): Dr Adrian Constantin, Professor Robin Johnson



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


© 2023, The Author(s).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.

Publication metadata

Author(s): Constantin A, Johnson RS

Publication type: Article

Publication status: Published

Journal: Mathematische Annalen

Year: 2023

Volume: 388

Pages: 4011-4036

Online publication date: 29/04/2023

Acceptance date: 11/04/2023

Date deposited: 11/05/2023

ISSN (print): 0025-5831

ISSN (electronic): 1432-1807

Publisher: Springer


DOI: 10.1007/s00208-023-02624-8


Altmetrics provided by Altmetric


Funder referenceFunder name
grant Z 387-N of the Austrian Science Fund