论文标题

扩散聚集模型中的浓度现象

Concentration phenomena in a diffusive aggregation model

论文作者

Biler, Piotr, Boritchev, Alexandre, Karch, Grzegorz, Laurençot, Philippe

论文摘要

我们考虑漂移扩散方程$$ u_t- \varepsilonΔU+\ nabla \ cdot(u \ nabla k \ star u)= 0 $$ 在全球限制解决方案的整个空间中。研究了该方程式具有较小扩散率的径向对称解的质量浓度现象。

We consider the drift-diffusion equation $$ u_t-\varepsilon Δu+\nabla\cdot(u\nabla K\star u)=0 $$ in the whole space with global-in-time bounded solutions. Mass concentration phenomena for radially symmetric solutions of this equation with small diffusivity are studied.

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