Asymptotic Behaviors of Solutions to One-dimensional Tumor Invasion Modelwith Quasi-variational Structure

Journal of Mathematical Sciences

Ito, Akio¹ 

关键词: Asymptotic behavior;    tumor invasion;    quasi-variational inequality.;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Weconsideraone-dimensionaltumorinvasionmodelofChaplain--Andersontypewithquasi-variationalstructure,whichisoriginallyproposedincite{Chaplain-Anderson-2003}.Oneobjectistoshowtheexistenceofglobal-in-timesolutionsbyusingthelimitprocedureforsuitableapproximatesolutions.Theotheristoconsidertheasymptoticbehaviorsofglobal-in-timesolutionsastimegoesto$infty$.Actually,weconstructatleastoneglobal-in-timesolution,whichenablesustoconsidertheconvergencetoacertainconstantsteady-statesolutionastimegoesto$infty$whenevertheinitialdatasatisfysuitableconditions.

【 授权许可】

Unknown