Periodic bounce trajectories in moving domains

Jun Hirata; Yoshitaka Matsugi; Kazunaga Tanaka

doi:10.4171/rlm/1034

JournalsrlmVol. 35, No. 1pp. 77–103

Periodic bounce trajectories in moving domains

Jun Hirata
School of Science and Engineering, Waseda University, Tokyo, Japan
Yoshitaka Matsugi
Tokio Marine &Nichido Life Insurance Co., Ltd., Tokyo, Japan
Kazunaga Tanaka
School of Science and Engineering, Waseda University, Tokyo, Japan

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Abstract

We study the existence of periodic trajectories in periodically moving domains. Our trajectories bounce at the boundary of moving domains in an elastic way. We prove the existence of infinitely many periodic bounce trajectories.

Cite this article

Jun Hirata, Yoshitaka Matsugi, Kazunaga Tanaka, Periodic bounce trajectories in moving domains. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 35 (2024), no. 1, pp. 77–103

DOI 10.4171/RLM/1034