SINGLE POINT BLOW-UP AND FINAL PROFILE FOR A PERTURBED NONLINEAR HEAT EQUATION WITH A GRADIENT AND A NON-LOCAL TERM

被引：6

作者：

Abdelhedi, Bouthaina ^{[1
]}

Zaag, Hatem ^{[2
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia

[2] Univ Sorbonne Paris Nord, Inst Galilee, Lab Anal Geometrie & Applicat, CNRS,UMR 7539, 99 Ave JB Clement, F-93430 Villetaneuse, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 08期

关键词：

Blow-up; nonlinear heat equation; gradient term; non-lo cal term; PARABOLIC EQUATION; STABILITY; BEHAVIOR;

D O I：

10.3934/dcdss.2021032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-lo cal term. In some earlier work [1], we constructed a blow-up solution for that equation, and showed that it blows up (at least) at the origin. We also derived the so called "intermediate blow-up profile". In this paper, we prove the single point blow-up property and determine the final blow-up profile.

引用

页码：2607 / 2623

页数：17

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