Réunion d'hiver SMC 2026
Montréal, 11 - 14 décembre 2026
Ondes non-linéaires et EDP dispersives: Avancées récentes théoriques et calculatoires
Org: Yvonne Alama Bronsard (MIT) et Maria Ntekoume (Concordia University)
Org: Yvonne Alama Bronsard (MIT) et Maria Ntekoume (Concordia University)
- MARCO BERTOLA, Concordia University
- YVONNE ALAMA BRONSARD, Nantes University
- MATTHIEU CADIOT, École Polytechnique Paris
- JOEL DANHE, University of Minnesota
- STEPHEN GUSTAFSON, UBC
- SLIM IBRAHIM, University of Victoria
- JEAN-PHILIPPE LESSARD, McGill University
- JOE MILLER, MIT
- JEAN-CHRISTOPHE NAVE, McGill University
- DMITRY PELINOVSKY, McMaster University
Nonlinear stability of periodic waves in the Benjamin-Ono equation [PDF]
- YVONNE ALAMA BRONSARD, Nantes University
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We construct the Lyapunov functional for the periodic waves of the Benjamin–Ono equation based on the conservation of momentum, energy, and a higher-order energy, which exists due to integrability. Positivity of the second variation of the Lyapunov functional for perturbations in Sobolev space $H^1(\mathbb{R})$ is established by utilizing the basis properties of eigenfunctions of the linearized Benjamin–Ono equation in $L^2(\mathbb{R})$. Coercivity of the Lyapunov functional for co-periodic and multiple-periodic perturbations yields the nonlinear orbital stability of the periodic waves in the periodic domain.
- ALAN RIQUIER, University of Toronto
- JAMES ROWAN, UT Austin
- CATHERINE SULEM, University of Toronto
- THIERRYLAURENS, University of Michigan
- KATJA VASSILEV, University of Chicago
- PENG YAN, Concordia University
- JAMES ROWAN, UT Austin