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Convex integration solutions to the transport equation with full dimensional concentration
Institution:1. Technische Universität Darmstadt, Fachbereich Mathematik, D-64289 Darmstadt, Germany;2. Universität Leipzig, Mathematisches Institut,D-04109 Leipzig, Germany;1. Dipartimento di Matematica, Sapienza Università di Roma, P.le Aldo Moro 2, 00185 Roma, Italy;2. Département de Mathématique, Université Libre de Bruxelles, Campus de la Plaine - CP214 boulevard du Triomphe, 1050, Bruxelles, Belgium;1. Octav Mayer Institute of the Romanian Academy and Al.I. Cuza University, Ia?i, Romania;2. Fakultät für Mathematik, Universität Bielefeld, D-33501 Bielefeld, Germany;1. Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstraße 8–10, 1040 Wien, Austria;2. Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, 8010 Graz, Austria;1. Institute of Mathematics, Polish Academy of Sciences, ul. ?niadeckich 8, 00-656 Warsaw, Poland;2. Institute of Applied Mathematics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
Abstract:
Keywords:Transport equation  Continuity equation  Convex integration  Non-uniqueness  Concentrated Mikado
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