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math.AP2024
Sharp Estimates for the Optimal Matching Problem on the 2-Torus
Ariel Lerman
In this paper, we prove sharp estimates for the average cost of the optimal matching problem on the flat 2-torus, using quantitative linearization and the method of trajectories.
math.AP2023
Local well-posedness and singularity formation in non-Newtonian compressible fluids
Ariel Lerman, Marcelo M. Disconzi, Jorge Noronha
We investigate the initial value problem of a very general class of non-Newtonian compressible fluids in which the viscous stress tensor with shear and bulk viscosity relaxes…