Organizers of this minisymposium are<\/p>\n
Many models involved in physics, such as in fluid dynamics, plasma physics or magnetism, are nonlinear evolution equations of dispersive or Hamiltonian type, as for Korteweg-de Vries equation or Schr\u00f6dinger type and Landau-Lifshitz equations. The dynamics of such models is often governed by a subtle interplay between a linear (dispersive) part and a non-linearity, and is naturally organized around coherent, non-dispersive structures \u2014 solitons in the broad sense, encompassing travelling waves, ground states, dipoles, or topological solitons such as skyrmions and domain walls. A central question is their stability, understood as the persistence of these objects under perturbation of the initial data. While many integrable systems benefit from a description of their solitons and of the stability thereof, those techniques do not easily generalize to all physical models. This fosters the development of genuinely non-linear dynamical techniques. This mini-symposium aims to gather specialists to present their recent results on well-posedness, long-time behavior, and the stability of soliton-like structures for non-linear evolution equations. Given the growing interest in these questions, this event offers a good opportunity for researchers from various communities to exchange ideas and motivate new collaborations.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":" Organizers of this minisymposium are Jordan Berthoumieu (Karlsruhe, Germany) Fr\u00e9d\u00e9ric Valet (Paris-Saclay, France) Many models involved in physics, such as in fluid dynamics, plasma physics or magnetism, are nonlinear evolution equations of dispersive or Hamiltonian type, as for Korteweg-de Vries equation or Schr\u00f6dinger type and Landau-Lifshitz equations. The dynamics of such models is often governed […]<\/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-116","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/116","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=116"}],"version-history":[{"count":5,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/116\/revisions"}],"predecessor-version":[{"id":186,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/116\/revisions\/186"}],"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=116"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}