Trends to equilibrium for a nonlocal Fokker–Planck equation
نویسندگان
چکیده
We obtain equilibration rates for a one-dimensional nonlocal Fokker–Planck equation with time-dependent diffusion coefficient and drift, modeling the relaxation of large swarm robots, feeling each other in terms their distance, towards steady profile characterized by uniform spreading over finite interval line. The result follows combining entropy methods quantifying decay solution its quasi-stationary distribution, properties profile.
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2023
ISSN: ['1873-5452', '0893-9659']
DOI: https://doi.org/10.1016/j.aml.2023.108746