Reduced order models for parametric bifurcation problems in nonlinear PDEs
F Pichi - 2020 - iris.sissa.it
This work is concerned with the analysis and the development of efficient Reduced Order
Models (ROMs) for the numerical investigation of complex bifurcating phenomena held by …
Models (ROMs) for the numerical investigation of complex bifurcating phenomena held by …
A Reduced Order Modeling Technique to Study Bifurcating Phenomena: Application to the Gross--Pitaevskii Equation
We propose a computationally efficient framework to treat nonlinear partial differential
equations having bifurcating solutions as one or more physical control parameters are …
equations having bifurcating solutions as one or more physical control parameters are …
Bifurcations of multi-vortex configurations in rotating Bose–Einstein condensates
C García–Azpeitia, DE Pelinovsky - Milan Journal of Mathematics, 2017 - Springer
We analyze global bifurcations along the family of radially symmetric vortices in the Gross–
Pitaevskii equation with a symmetric harmonic potential and a chemical potential µ under …
Pitaevskii equation with a symmetric harmonic potential and a chemical potential µ under …
The onset of layer undulations in smectic A liquid crystals due to a strong magnetic field
We investigate the effect of a strong magnetic field on a three dimensional smectic A liquid
crystal. We identify a critical field above which the uniform layered state loses stability; this is …
crystal. We identify a critical field above which the uniform layered state loses stability; this is …
On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates
PG Kevrekidis, DE Pelinovsky - Proceedings of the …, 2017 - royalsocietypublishing.org
Motivated by experiments in atomic Bose–Einstein condensates (BECs), we compare
predictions of a system of ordinary differential equations (ODEs) for dynamics of one and two …
predictions of a system of ordinary differential equations (ODEs) for dynamics of one and two …