Linear collisional kinetic equations without confinement exhibit long-time self-similar behavior, with rescaled solutions converging uniformly to diffusion limits via Wild sums.
Time asymptotics and scaling limits for a nonlocal fokker-planck equation with heavy-tailed kernel, 2026,arXiv:2602.00375 [math.AP]
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Self-similarity and diffusive limits for linear kinetic equations: a Wild sum approach
Linear collisional kinetic equations without confinement exhibit long-time self-similar behavior, with rescaled solutions converging uniformly to diffusion limits via Wild sums.