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math.AP2008
Averaging lemmas with a force term in the transport equation
F. Berthelin, S. Junca
We obtain several averaging lemmas for transport operator with a force term. These lemmas improve the regularity yet known by not considering the force term as part of an arbitrary…
physics.class-ph2008
Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave
Stéphane Junca, Bruno Lombard
The interactions between linear elastic waves and a nonlinear crack with finite compressibility are studied in the one-dimensional context. Numerical studies on a hyperbolic model…