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math.AP2026
Rate-dependent gradient flows of integral currents via varicurrents
Antonín Češík, Malte Kampschulte, Filip Rindler
Motivated by the analysis of recent models of dislocation motion in crystalline materials, this work introduces space-time varicurrents, a form of Young measures over integral curr…
math.AP2022★ 1 cited
Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision
Antonín Češík, Giovanni Gravina, Malte Kampschulte
We study the time evolution of non-linear viscoelastic solids in the presence of inertia and (self-)contact. For this problem we prove the existence of weak solutions for arbitrary…