uni-leipzig-open-access/json/cpa.22038

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Our solutions are obtained by means of convex integration; they are smooth outside a \u201cturbulence\u201d zone which grows linearly in time around the vortex sheet. As a by\u2010product, this approach shows how the growth of the turbulence zone is controlled by the local energy inequality and measures the maximal initial dissipation rate in terms of the vortex sheet strength. \u00a9 2021 The Authors. <jats:italic>Communications on Pure and Applied Mathematics<\/jats:italic> published by Wiley Periodicals LLC.<\/jats:p>","DOI":"10.1002\/cpa.22038","type":"journal-article","created":{"date-parts":[[2022,1,13]],"date-time":"2022-01-13T09:03:44Z","timestamp":1642064624000},"page":"163-221","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign"],"prefix":"10.1002","volume":"76","author":[{"given":"Francisco","family":"Mengual","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma de Madrid  Calle Francisco Tom\u00e1s y Valiente, 7 28049 Madrid Spain"}]},{"suffix":"Jr","given":"L\u00e1szl\u00f3","family":"Sz\u00e9kelyhidi","sequence":"additional","affiliation":[{"name":"Mathematisches Institut, Universit\u00e4t Leipzig  Augustusplatz 10 04109 Leipzig Germany"}]}],"member":"311","published-online":{"date-parts":[[2022,1,13]]},"reference":[{"key":"e_1_2_1_2_1","doi-asserted-by":"crossref","unstructured":"Birkhoff G.Helmholtz and Taylor instability.Proc. 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