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math.AP2023★ 1 cited
Existence and uniqueness for the transport of currents by Lipschitz vector fields
Paolo Bonicatto, Giacomo Del Nin, Filip Rindler
This work establishes the existence and uniqueness of solutions to the initial-value problem for the geometric transport equation $$ \frac{\mathrm{d}}{\mathrm{d} t}T_t+\mathcal{L}_…
math.AP2022★ 2 cited
Transport of currents and geometric Rademacher-type theorems
Paolo Bonicatto, Giacomo Del Nin, Filip Rindler
The transport of many kinds of singular structures in a medium, such as vortex points/lines/sheets in fluids, dislocation loops in crystalline plastic solids, or topological singul…