Validating Hopf bifurcations in the Kuramoto-Sivashinsky PDE
Elena Queirolo (Rutgers University, USA)
15-Sep-2020, 14:00-15:00 (4 years ago)
Abstract: We prove the existence of a Hopf bifurcation in the Kuramoto–Sivashinsky PDE. For this, we rewrite the Kuramoto–Sivashinsky equation into a desingularized formulation near the Hopf point via a blow-up approach and we apply the radii polynomial approach to validate a solution branch of periodic solutions. Then this solution branch includes the Hopf bifurcation point.
analysis of PDEsclassical analysis and ODEsdynamical systemsfunctional analysisnumerical analysis
Audience: researchers in the discipline
CRM CAMP (Computer-Assisted Mathematical Proofs) in Nonlinear Analysis
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Organizers: | Jean-Philippe Lessard*, Jason D. Mireles James, Jan Bouwe van den Berg |
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