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- W2008702562 abstract "We present numerical simulations of radially symmetric finite time blowup for the aggregation equation $u_t=nablacdot(unabla K*u)$, where the kernel $K(x)=|x|$. The dynamics of the blowup exhibits self-similar behavior in which zero mass concentrates at the core at the blowup time. Computations are performed in $R^n$ for n between 2 and 10 using a method based on characteristics. In all cases studied, the self-similarity exhibits second-kind (anomalous) scaling." @default.
- W2008702562 created "2016-06-24" @default.
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- W2008702562 date "2010-01-01" @default.
- W2008702562 modified "2023-10-16" @default.
- W2008702562 title "Self-Similar Blowup Solutions to an Aggregation Equation in $R^n$" @default.
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- W2008702562 doi "https://doi.org/10.1137/090774495" @default.
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