{"id":131,"date":"2018-11-09T12:12:32","date_gmt":"2018-11-09T14:12:32","guid":{"rendered":"http:\/\/www.professores.uff.br\/vitorbalestro\/?page_id=131"},"modified":"2018-11-09T12:12:32","modified_gmt":"2018-11-09T14:12:32","slug":"curvature-motion-in-time-dependent-minkowski-planes","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/vitorbalestro\/publications\/curvature-motion-in-time-dependent-minkowski-planes\/","title":{"rendered":"Curvature motion in time-dependent Minkowski planes"},"content":{"rendered":"<p id=\"h.p_2yuSbElVOZq2\" class=\"zfr3Q\">V. Balestro, <strong>Curvature motion in time-dependent Minkowski planes<\/strong>, International Electronic Journal of Geometry 8(2), pp. 70-81, 2015. (<a class=\"dhtgD\" href=\"https:\/\/www.google.com\/url?q=https%3A%2F%2Farxiv.org%2Fabs%2F1410.3809&amp;sa=D&amp;sntz=1&amp;usg=AFQjCNG18SZzlzVM-V2dPW7Pv8xsM63K8g\" target=\"_blank\" rel=\"noopener noreferrer\">arXiv link<\/a>) (<a class=\"dhtgD\" href=\"http:\/\/www.google.com\/url?q=http%3A%2F%2Fwww.iejgeo.com%2Fmatder%2Fdosyalar%2Fmakale-188%2Fbalestro-2015-8-2-7.pdf&amp;sa=D&amp;sntz=1&amp;usg=AFQjCNGjoMxBFpnoPiszOGhTEbMPj8vvJQ\" target=\"_blank\" rel=\"noopener noreferrer\">journal link<\/a>)<\/p>\n<p id=\"h.p_SfBG22wUObD7\" class=\"zfr3Q\">Comments: This paper studies curvature motions in planes whose norm is varying with the time. In other words, the motion of the curve is ruled at each time by a different norm. Evolution formulas and existence results are obtained. As a corollary of our results, we show that the solutions of a certain family of parabolic nonlinear PDE&#8217;s have a uniform blow up time (for some of its derivatives).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>V. Balestro, Curvature motion in time-dependent Minkowski planes, International Electronic Journal of Geometry 8(2), pp. 70-81, 2015. (arXiv link) (journal link) Comments: This paper studies curvature motions in planes whose norm is varying with the time. In other words, the motion of the curve is ruled at each time by a different norm. Evolution formulas [&hellip;]<\/p>\n","protected":false},"author":205,"featured_media":0,"parent":12,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-131","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/131","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/users\/205"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/comments?post=131"}],"version-history":[{"count":1,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/131\/revisions"}],"predecessor-version":[{"id":132,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/131\/revisions\/132"}],"up":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/pages\/12"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/media?parent=131"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/categories?post=131"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/vitorbalestro\/wp-json\/wp\/v2\/tags?post=131"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}