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math.AP2023
Nontrivial absolutely continuous part of anomalous dissipation measures in time
Carl Johan Peter Johansson, Massimo Sorella
We positively answer Question 2.2 and Question 2.3 in [Bruè, De Lellis, 2023] in dimension by building new examples of solutions to the forced incompressible Navier-Stokes…
math.AP2023
Wild solutions to scalar Euler-Lagrange equations
Carl Johan Peter Johansson
We study very weak solutions to scalar Euler-Lagrange equations associated with quadratic convex functionals. We investigate whether solutions are necessarily $W^{1,2}_{\…