Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774269 | Journal of Differential Equations | 2017 | 33 Pages |
Abstract
We show the existence of locally bounded global solutions to the chemotaxis system{ut=ââ
(D(u)âu)âââ
(uvâv)in ΩÃ(0,â)vt=Îvâuvin ΩÃ(0,â)âνu=âνv=0in âΩÃ(0,â)u(â
,0)=u0,v(â
,0)=v0in Ω in smooth bounded domains ΩâRN, Nâ¥2, for D(u)â¥Î´umâ1 with some δ>0, provided that m>1+N4.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Johannes Lankeit,