Mechanics of affine bodies. Towards affine dynamical symmetry

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• 作者：Jan Jerzy Sławianowski ^{jslawian@ippt.pan.pl" class="auth_mail" title="E-mail the corresponding author} ; Vasyl Kovalchuk ; ^{vkoval@ippt.pan.pl" class="auth_mail" title="E-mail the corresponding author} ; Barbara Gołubowska ^{bgolub@ippt.pan.pl" class="auth_mail" title="E-mail the corresponding author} ; Agnieszka Martens ^{amartens@ippt.pan.pl" class="auth_mail" title="E-mail the corresponding author} ; Ewa Eliza Rożko ^{erozko@ippt.pan.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Homogeneous deformation ; Structured media ; Affinely-invariant dynamics ; Elastic vibrations encoded in kinetic energy ; Calogero&ndash ; Moser and Sutherland integrable lattices
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：493-520
• 全文大小：641 K

文摘

In this paper we discuss certain dynamical models of affine bodies, including problems of partial separability and integrability. There are some reasons to expect that the suggested models are dynamically viable and that on the fundamental level of physical phenomena the “large” affine symmetry of dynamical laws is more justified and desirable than the restricted invariance under isometries.