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Evolution Aggregation Equation

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posted on 2019-02-02, 09:41 authored by Jose CarrilloJose Carrillo, Katy Craig, Li Wang, Chaozhen Wei
We solve the two dimensional aggregation-drift equation with interaction potential $W(x) = |x|^2/2 - \ln(|x|)$ and drift potential $V(x) = -(1/4) \ln(|x|)$. The computational domain is [-1.5,1.5]$\times$[-1.5,1.5]. We simulate the long time behavior of a solution of the aggregation-drift equation with a non-radially symmetric initial data, given by five Gaussians to the same equilibrium profile. More info in Figure 14 of the manuscript in arxiv.

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