Seminars: A. I. Nazarov, Periodic solutions of Swift

SEMINARS


V. I. Smirnov Seminar on Mathematical Physics May 20, 2024 15:00, St. Petersburg, PDMI, room 311, zoom online-conference

Periodic solutions of Swift–Hohenberg equation A. I. Nazarov^ab ^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences ^b Saint Petersburg State University
https://youtu.be/xbClaeCuljE Abstract: The stationary Swift–Hohenberg equation $$(\Delta+1)^2u-\alpha u-\beta u^2 +u^3=0$$ is considered in the entire space $\mathbb R^n$, $2\le n\le 7$. By further developing the variational approach proposed in the work by Lerman, Naryshkin and Nazarov (2020), we obtain several periodic solutions with additional symmetries. The talk is based on joint work with S.B. Kolonitskii and L.M. Lerman.