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
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.