Lagrangian descriptors in geophysical flows: a survey

• Jezabel Curbelo ^[1]
  1. [1] Universitat Politècnica de Catalunya

     Universitat Politècnica de Catalunya

     Barcelona, España

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol 83, Nº. 1, 2026, págs. 1-21
• Idioma: inglés
• DOI: 10.1007/s40324-025-00382-y
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• Resumen

  • This survey focuses on the application of Lagrangian descriptors to reveal the geometry of phase space structures that determine transport in dynamical systems. We present diverse formulations of the method and examine various applications of Lagrangian descriptors in geophysical fluids, such as atmospheric flows and oceanic currents. The method of Lagrangian Descriptors has proven to be a powerful tool for characterizing transport and mixing in these contexts, demonstrating how these tools have enhanced our understanding of complex fluid dynamics in critical environments.