半线性抛物型方程中的非自相似殆核率  

Non-Self-Similar Dead-Core Rate in Semilinear Parabolic Equation

作　　者：牟金保[1] MOU Jin-bao(School of Education, Xizang Minzu University, Xianyang 712082, Shaanxi, Chin)

机构地区：[1]西藏民族大学教育学院,陕西咸阳712082

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2018年第1期16-22,共7页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11761065);西藏自治区自然科学基金资助项目(2016-ZR-15-24);西藏民族大学科研项目(16MY02)

摘　　要：研究了一类半线性抛物型偏微分方程,其具有强吸收、快速扩散的性质,证明了其殆核的时间率不是自相似的,得到了可扩展的解在单点的最终殆核的粗略估计与精确估计.A dead-core problem for the fast diffusion with a nonlinear strong absorption has been discussed in this paper.It has been found that the temporal rate of formation of the dead-core is not selfsimilar,and a rough and an accurate estimation of the expandable solution at a single point has been obtained as well.

关 键 词：半线性抛物型方程 殆核率 非自相似 估计 

分 类 号：O175.26[理学—数学]