Blow-up dynamics of self-attracting diffusive particles driven by competing convexitiesReport as inadecuate



 Blow-up dynamics of self-attracting diffusive particles driven by competing convexities


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In this paper, we analyze the dynamics of an $N$ particles system evolving according the gradient flow of an energy functional. The particle system is a consistent approximation of the Lagrangian formulation of a one parameter family of non-local drift-diffusion equations in one spatial dimension. We shall prove the global in time existence of the

Author: V. Calvez; L. Corrias

Source: https://archive.org/







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