• 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 ...
• Generalized metrics and topology in logic programming semantics 

  Hitzler, Pascal (University College Cork, 2001)

  Many fixed-point theorems are essentially topological in nature. Among them are the Banach contraction mapping theorem on metric spaces and the fixed­-point theorem for Scott-continuous mappings on complete partial orders. ...
• Statistical analysis of positron emission tomography data 

  Mou, Tian (University College Cork, 2018)

  Positron emission tomography (PET) is a noninvasive medical imaging tool that produces sequences of images describing the distribution of radiotracers in the object. PET images can be processed to evaluate functional, ...

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