Quantitative nonlinear stability and decay estimates are established for constant equilibria of the local-in-space kinetic Vicsek equation below the critical threshold, with a regularity gain enabling well-posedness in H^{s,0} spaces for s < d/2.
Mixing, enhanced dissipation, and phase transition in the kinetic Vicsek model.SIAM J
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Quantitative stability of constant equilibria in a non-linear alignment model of self-propelled particles
Quantitative nonlinear stability and decay estimates are established for constant equilibria of the local-in-space kinetic Vicsek equation below the critical threshold, with a regularity gain enabling well-posedness in H^{s,0} spaces for s < d/2.