7 citations · 7 across the 1 of their papers we have counts for
5 papers
Well-posedness of a highly nonlinear shallow water equation on the circle
Nilay Duruk Mutlubas, Anna Geyer, Ronald Quirchmayr
We present a comprehensive introduction and overview of a recently derived model equation for waves of large amplitude in the context of shallow water waves and provide a literatur…
Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates
Calin Iulian Martin, Ronald Quirchmayr
We use spherical coordinates to devise a new exact solution to the governing equations of geophysical fluid dynamics for an inviscid and incompressible fluid with a general density…
A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current
Calin Iulian Martin, Ronald Quirchmayr
We construct an explicit steady stratified purely azimuthal flow for the governing equations of geophysical fluid dynamics. These equations are considered in a setting that applies…
Shallow water models for stratified equatorial flows
Anna Geyer, Ronald Quirchmayr
Our aim is to study the effect of a continuous prescribed density variation on the propagation of ocean waves. More precisely, we derive KdV-type shallow water model equations for…
On the spectral problem associated with the time-periodic nonlinear Schrödinger equation
Jonatan Lenells, Ronald Quirchmayr
According to its Lax pair formulation, the nonlinear Schrödinger (NLS) equation can be expressed as the compatibility condition of two linear ordinary differential equations with a…