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The mean field limit with time dependent weights for a 1D singular case,given by the attractive Coulomb interactions, is considered. This extendsrecent results [1,8] for the case of regular interactions. The approach takenhere is based on transferring the kinetic target equation to a Burgers-typeequation through the distribution function of the measures. The analysisleading to the stability estimates of the latter equation makes use of Kruzkoventropy type estimates adapted to deal with nonlocal source terms.

Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights