• 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 ...
• Estimates for maximal functions associated to hypersurfaces in ℝ³ with height h < 2: Part I 

  Buschenhenke, Stefan; Dendrinos, Spyridon; Ikromov, Isroil A.; Müller, Detlef (American Mathematical Society, 2019-07-15)

  In this article, we continue the study of the problem of Lp-boundedness of the maximal operator M associated to averages along isotropic dilates of a given, smooth hypersurface S of finite type in 3-dimensional Euclidean ...
• The capacity of sets of divergence of Certain Taylor Series on the unit circle 

  Twomey, J. Brian (Springer, 2019-05-09)

  A simple and direct proof is given of a generalization of a classical result on the convergence of ∑∞k=0ak e ikx outside sets of x of an appropriate capacity zero, where f(z)=∑∞k=0akzk is analytic in the unit disc U ...
• 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 ...
• On Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in R3 

  Dendrinos, Spyridon; Zimmermann, Eugen (Springer, 2019-07-12)

  We establish Lp-Lq estimates for averaging operators associated to mixed homogeneous polynomial hypersurfaces in R3. These are described in terms of the mixed homogeneity and the order of vanishing of the polynomial ...

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