Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Ronald Quirchmayr"'
Autor:
Calin Iulian Martin, Ronald Quirchmayr
Publikováno v:
Studies in Applied Mathematics. 148:1021-1039
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1acb0c9e3ceeeb54352e2fda3bc1c72
https://doi.org/10.1111/sapm.12467
https://doi.org/10.1111/sapm.12467
Autor:
Ronald Quirchmayr, Jonatan Lenells
Publikováno v:
Mathematische Annalen
According to its Lax pair formulation, the nonlinear Schrodinger (NLS) equation can be expressed as the compatibility condition of two linear ordinary differential equations with an analytic dependence on a complex parameter. The first of these equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1ef37ba3ad020de197d2b74a509de27
https://doi.org/10.1007/s00208-019-01856-x
https://doi.org/10.1007/s00208-019-01856-x
Autor:
Ronald Quirchmayr, Anna Geyer
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 39:4533-4545
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 unidirectional flows along the Equator from the full governing equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51179f59682078e5b232f125c888c599
https://doi.org/10.3934/dcds.2019186
https://doi.org/10.3934/dcds.2019186
Autor:
Ronald Quirchmayr, Calin Iulian Martin
Publikováno v:
Monatshefte Fur Mathematik
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 to the Antarctic Circumpolar Current, accounting for eddy viscosity a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b38f8944b4ca5e6707987b2b146a5849
Autor:
Anna Geyer, Ronald Quirchmayr
Publikováno v:
Communications on Pure and Applied Analysis, 21(7)
We develop a Korteweg–De Vries (KdV) theory for weakly nonlinear waves in discontinuously stratified two-layer fluids with a generally prescribed rotational steady current. With the help of a classical asymptotic power series approach, these models
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f84f7ca927afaa8e416553a7aef118a0
https://doi.org/10.3934/cpaa.2022061
https://doi.org/10.3934/cpaa.2022061
Autor:
Ronald Quirchmayr
Publikováno v:
Monatshefte für Mathematik
We consider a steady, purely azimuthal eddy viscosity flow model for the Antarctic Circumpolar Current and derive an exact formula for the solution.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e02ba3879376de2a1a864fca18c9e1c3
https://doi.org/10.1007/s00605-017-1097-z
https://doi.org/10.1007/s00605-017-1097-z
Autor:
Ronald Quirchmayr
Publikováno v:
Journal of Nonlinear Mathematical Physics. 22:540
We study a model for the wind-induced current field of the Pacific ocean in order to demonstrate that currents in the surface layer are carried down to the deepest regions above the abyssal sea floor, which indicates the existence of the phenomenon o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe2f3475b7c12e2eeeb2a4533b9a71eb
https://doi.org/10.1080/14029251.2015.1113053
https://doi.org/10.1080/14029251.2015.1113053
Autor:
Ronald Quirchmayr
Publikováno v:
Journal of Evolution Equations. 16:539-567
We derive a quasilinear shallow water equation directly from the governing equations for gravity water waves within a certain regime for large-amplitude waves which has not been studied so far. Furthermore, we demonstrate local well-posedness of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d140b3836952808c05fcf30e882376f
https://doi.org/10.1007/s00028-015-0312-4
https://doi.org/10.1007/s00028-015-0312-4
Autor:
Ronald Quirchmayr, Anna Geyer
Publikováno v:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Philosophical Transactions of the Royal Society A: Mathematical,Physical and Engineering Sciences
Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences, 376(2111)
Philosophical Transactions of the Royal Society A: Mathematical,Physical and Engineering Sciences
Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences, 376(2111)
We present derivations of shallow water model equations of Korteweg–de Vries and Boussinesq type for equatorial tsunami waves in the f -plane approximation and discuss their applicability. This article is part of the theme issue ‘Nonlinear water
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13f2654a5409b6a926a77005dfc134ff
Autor:
Calin Iulian Martin, Ronald Quirchmayr
Publikováno v:
Journal of Mathematical Physics. 60:101505
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 distribution and subjected to forcing terms. The latter are of paramo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbc69acf2ebd647a3c825a732aefc6cf
https://doi.org/10.1063/1.5120627
https://doi.org/10.1063/1.5120627