Concentration phenomena in a diffusive aggregation model

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:271

Article

Biler, Piotr¹  Boritchev, Alexandre²  Karch, Grzegorz¹  Laurencot, Philippe³ 

[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

[2] Univ Claude Bernard Lyon 1, CNRS UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

[3] Univ Toulouse, CNRS, UMR 5219, Inst Math Toulouse, F-31062 Toulouse 9, France

关键词: Nonlocal drift-diffusion equation;    Small diffusivity;    Concentration of solutions;   

DOI  :  10.1016/j.jde.2020.09.035

来源: Elsevier

【 摘 要 】

We consider the drift-diffusion equation u(t) - epsilon Delta u + del center dot (u del K * 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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free