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math.AP2023
Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems
José Antonio Carrillo, Sondre Tesdal Galtung
We study distributional solutions of pressureless Euler systems on the line. In particular we show that Lagrangian solutions, introduced by Brenier, Gangbo, Savaré and Westdickenbe…
math.AP2023★ 6 cited
Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights
Immanuel Ben Porat, José A. Carrillo, Sondre T. Galtung
The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results [1,8] for the case…