Demonstrates the global existence of periodic entropy weak solutions in a 1D hydrodynamic flocking model, suggesting the robustness of the model's behavior.
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in a periodic domain in one-space dimension with linear pressure term. The main result is the global existence of periodic entropy weak solutions, for periodic initial data having finite total variation and initial density bounded away from zero.
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Amadori et al. (2026) studied this question.
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