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BIRS Workshop Lecture Videos

Mathematical issues in combining evolution and \(\Gamma\)-convergence: dangers in phase-field dynamics Larsen, Christopher


Mathematicians have generally not emphasized the difference between \(\Gamma\)-convergence and the convergence necessary for "approximate" dynamic solutions to converge to the correct limiting dynamics. I will discuss what properties limiting dynamic fracture models should have, and how \(\Gamma\)-convergence can fail to deliver them, with an emphasis on phase-field approximations and some surprising problems.

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