The (N,p)-BBM converges in the hydrodynamic limit to a two-sided free boundary problem on a finite interval with p-dependent Neumann and Dirichlet conditions; the limiting velocity is the unique travelling-wave speed of that problem.
Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary.SIAM journal on mathematical analysis, 42(1):377–405, 2010
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Two-Sided Free Boundary Problems Arising From Branching-Selection Particle Systems
The (N,p)-BBM converges in the hydrodynamic limit to a two-sided free boundary problem on a finite interval with p-dependent Neumann and Dirichlet conditions; the limiting velocity is the unique travelling-wave speed of that problem.