For a class of scaling-critical reaction-diffusion equations with log-attenuated nonlinearities and white-noise initial data, the solutions converge to a Gaussian McKean-Vlasov process whose variance is set by an ODE.
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McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data
For a class of scaling-critical reaction-diffusion equations with log-attenuated nonlinearities and white-noise initial data, the solutions converge to a Gaussian McKean-Vlasov process whose variance is set by an ODE.