Particle paths beneath forced small amplitude periodic waves in a shallow channel with constant vorticity

• Marcelo V. Flamarion ^[1]
  1. [1] Rural Federal University of Pernambuc
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 10, Nº. 1, 2023, págs. 158-163
• Idioma: inglés
• DOI: 10.17268/sel.mat.2023.01.14
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• Resumen

  • Particle paths beneath small amplitude periodic forced waves in a shallow water channel are investigated.

    The problem is formulated in the forced Korteweg-de Vries equation framework which allows to approximate the velocity field in the bulk fluid. We show that the flow can have zero, one or three stagnation points.

    Besides, differently from the unforced problem, stagnation points can arise for small values of the vorticity as long as the moving disturbance travels sufficiently fast.