TY - ELEC
AU - Christopher Larsen
PY - 2019
TI - Mathematical issues in combining evolution and \(\Gamma\)-convergence: dangers in phase-field dynamics
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0380757
ER - End of Reference