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