• On the Interaction of rate-induced and bifurcation-induced tipping in ecosystems 

  O'Keeffe, Paul E. (University College Cork, 2019-10)

  We analyse nonlinear tipping phenomena in a bi-stable ecosystem model, defined as sudden and unexpected transitions from the herbivore-dominating equilibrium to the plant-only equilibrium, which are triggered by environmental ...
• Rate-induced critical transitions 

  Xie, Chun (University College Cork, 2020-04)

  This thesis focuses on rate-induced critical transitions or tipping points (R-tipping points), where the system undergoes a critical transition if the time-varying external conditions vary faster than some critical rate. ...
• On mathematical aspects of exact nonlinear rotational water waves 

  Rodríguez Sanjurjo, Adrián (University College Cork, 2019)

  This thesis addresses various theoretical questions regarding exact nonlinear solutions to the geophysical governing equations which are explicit in the Lagrangian framework. Such solutions are scarce, being Gerstner’s ...
• Nonlinear water wave models with vorticity 

  Kluczek, Mateusz (University College Cork, 2019)

  The results presented in this thesis consider geophysical nonlinear water waves and small-amplitude gravity waves. New exact and explicit solutions in terms of Lagrangian variables are derived to model geophysical surface ...
• Constant mean curvature surfaces and Heun's differential equations 

  Mota, Eduardo (University College Cork, 2019)

  This thesis is concerned with the problem of constructing surfaces of constant mean curvature with irregular ends by using the class of Heun’s Differential Equations. More specifically, we are interested in obtaining ...

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