3 papers
math.AP2025
Global Bifurcation In Four-Component Bose-Einstein Condensates In Space
Carlos GarcÃa-Azpeitia, Anna GoÅÈ©biewska, Wieslaw Krawcewicz +1
We analyze a system of coupled Bose-Einstein condensates in the domain of a unitary ball in . The coupling is due to atom-to-atom interactions that occur between diff…
math.AP2025
Nonlinear Vibrational Mode of Molecule with Octahedral Configuration
Jingzhou Liu
In this work, we investigate the nonlinear dynamics of molecules with an octahedral configuration, with particular focus on sulfur hexafluoride SF6. Under the assumption of isotypi…
math.AP2024
Global Bifurcation of Non-Radial Solutions for Symmetric Sub-linear Elliptic Systems on the Planar Unit Disc
Ziad Ghanem, Casey Crane, Jingzhou Liu
In this paper, we prove a global bifurcation result for the existence of non-radial branches of solutions to the paramterized family of -symmetric problems , $u…