{"id":130,"date":"2026-07-29T16:05:44","date_gmt":"2026-07-29T14:05:44","guid":{"rendered":"https:\/\/conference27.waves.kit.edu\/?page_id=130"},"modified":"2026-07-29T16:58:07","modified_gmt":"2026-07-29T14:58:07","slug":"dynamics-of-hamiltonian-systems-with-spatial-confinement","status":"publish","type":"page","link":"https:\/\/conference27.waves.kit.edu\/?page_id=130","title":{"rendered":"Dynamics of Hamiltonian Systems with Spatial Confinement"},"content":{"rendered":"<p>Organizers of this minisymposium are<\/p>\n<ul>\n<li><a href=\"https:\/\/homepage.univie.ac.at\/filip.ficek\/\" target=\"_blank\" rel=\"noopener\">Filip Ficek (Vienna, Austria)<\/a><\/li>\n<li><a href=\"https:\/\/homepage.univie.ac.at\/maciej.maliborski\/\" target=\"_blank\" rel=\"noopener\">Maciej Maliborski, (Vienna, Austria)<\/a><\/li>\n<\/ul>\n<p><em>The dynamics of nonlinear waves in confined systems differ fundamentally from those in systems where energy can disperse freely. Since energy cannot escape, nonlinear interactions continuously redistribute it among Fourier modes. As a result, energy initially concentrated in low-frequency modes may cascade towards higher frequencies, corresponding to progressively smaller spatial scales. This transfer, typically monitored through the growth of Sobolev norms, is a defining feature of weak turbulence and, in extreme cases, may lead to singularity formation. Although no comprehensive theory currently describes this process or the broader range of related phenomena, substantial progress has been made in recent years. These advances have deepened our understanding of energy-cascade mechanisms, the dynamics of integrable systems, and the structure of periodic and quasi-periodic solutions. Given the ubiquity of spatially confined systems in quantum mechanics, nonlinear optics, fluid dynamics, and general relativity, we expect this minisymposium to attract a broad audience and provide a timely overview of recent developments across these areas.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Organizers of this minisymposium are Filip Ficek (Vienna, Austria) Maciej Maliborski, (Vienna, Austria) The dynamics of nonlinear waves in confined systems differ fundamentally from those in systems where energy can disperse freely. Since energy cannot escape, nonlinear interactions continuously redistribute it among Fourier modes. As a result, energy initially concentrated in low-frequency modes may cascade [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":92,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-130","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/130","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=130"}],"version-history":[{"count":2,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/130\/revisions"}],"predecessor-version":[{"id":187,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/130\/revisions\/187"}],"up":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/92"}],"wp:attachment":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}