29/04/26 Seminar: Yue Liu
Yue Liu (The University of Texas at Arlington) will speak at the School of Mathematics & Statistics seminar series on Wednesday 29 April 2026.
| Speaker: | Yue Liu (The University of Texas at Arlington) |
| Title: | Asymptotic stability of smooth solitons and multi-solitons for the Camassa–Holm equation |
| Date: | 1pm, Wednesday 29 April, 2026 |
| Location: | TU Dublin, Grangegorman, Central Quad, CQ-211 (Tea, coffee and sandwiches at 12:30pm in room CQ-241) |
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Abstract: In this talk, we prove the asymptotic stability of smooth solitons and multi-solitons in the energy space for the Camassa-Holm (CH) equation. Our approach is based on a new use of the integrable structure of CH: we exploit the commutativity between the recursion operator and the linearized operator to obtain a complete spectral resolution even though the soliton profile is implicit and the operator is nonlocal. This explicit spectral decomposition, combined with weighted semigroup estimates, yields a nonlinear Liouville-type rigidity theorem that leads to full asymptotic stability without relying on virial identities or Evans-function techniques. |
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