The aggregation equation with Newtonian potential: The vanishing viscosity limit

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:453

Article

Cozzi, Elaine¹  Gie, Gung-Min²  Kelliher, James P.³ 

[1] Oregon State Univ, Dept Math, 368 Kidder Hall, Corvallis, OR 97330 USA

[2] Univ Louisville, Dept Math, 328 Nat Sci Bldg, Louisville, KY 40292 USA

[3] Univ Calif Riverside, Dept Math, 900 Univ Ave, Riverside, CA 92521 USA

关键词: Aggregation equation;    Inviscid limit;   

DOI  :  10.1016/j.jmaa.2017.04.009

来源: Elsevier

【 摘 要 】

The viscous and inviscid aggregation equation with Newtonian potential models a number of different physical systems and has close analogs in 2D incompressible fluid mechanics. We consider a slight generalization of these equations in the whole space establishing well-posedness of the viscous and inviscid equations, spatial decay of the viscous solutions, and the convergence of viscous solutions to the inviscid solution as the viscosity goes to zero. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free