<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>8079</id>
    <completedYear/>
    <publishedYear>2021</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>611</pageFirst>
    <pageLast>637</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>33</volume>
    <type>article</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2021-01-28</completedDate>
    <publishedDate>2021-01-28</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence</title>
    <abstract language="eng">This paper revolves around a subtle distinction between two concepts: passing to the limit in a family of gradient systems, on one hand, and deriving effective kinetic relations on the other. The two concepts are strongly related, and in many examples they even appear to be the same. Our main contributions are to show that they are different, to show that well-known techniques developed for the former may give incorrect results for the latter, and to introduce new tools to remedy this. The approach is based on the Energy-Dissipation Principle that provides a variational formulation to gradient-flow equations that allows one to apply techniques from Γ-convergence of functional on states and functionals on trajectories.</abstract>
    <parentTitle language="eng">Continuum Mechanics and Thermodynamics</parentTitle>
    <identifier type="doi">10.1007/s00161-020-00932-x</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="AcceptedDate">2020-10-01</enrichment>
    <author>Alexander Mielke</author>
    <submitter>Stefanie Winkelmann</submitter>
    <author>Alberto Montefusco</author>
    <author>Mark A. Peletier</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="projects" number="SFB1114-C3">SFB1114-C3</collection>
    <collection role="institutes" number="MfLMS">Mathematics for Life and Materials Science</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
    <thesisPublisher>Zuse Institute Berlin (ZIB)</thesisPublisher>
  </doc>
</export-example>
