3 papers
math.AP2025
Global Bifurcation of Spiral Wave Solutions to the Complex Ginzburg-Landau Equation
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
We use the -equivariant degree to establish the existence of unbounded branches of rotating spiral wave solutions with any number of arms for the complex Ginzburg Land…
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.AP2024
Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
In this paper, we use the equivariant degree theory to establish a global bifurcation result for the existence of non-stationary branches of solutions to a nonlinear, two-parameter…