Stationary solutions of Keller–Segel-type crowd motion and herding models : Multiplicity and dynamical stability

Mathematics and Mechanics of Complex Systems

Dolbeault, Jean²  Jankowiak, Gaspard²  Markowich, Peter¹ 

[1] Department of Applied Mathematics & Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United KingdomDepartment of Applied Mathematics & Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United KingdomDepartment of Applied Mathematics & Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom;CEREMADE, CNRS UMR 7534, Université Paris-Dauphine, Place de Lattre de Tassigny, 75775 Paris Cedex 16, FranceCEREMADE, CNRS UMR 7534, Université Paris-Dauphine, Place de Lattre de Tassigny, 75775 Paris Cedex 16, FranceCEREMADE, CNRS UMR 7534, Université Paris-Dauphine, Place de Lattre de Tassigny, 75775 Paris Cedex 16, France

关键词: crowd motion;    herding;    continuum model;    Lyapunov functional;    variational methods;    dynamical stability;    non-self-adjoint evolution operators;   

DOI  :  10.2140/memocs.2015.3.211

学科分类：社会科学、人文和艺术（综合）

来源: Mathematical Sciences Publishers

【 授权许可】

Unknown