Advances in Dynamical Systems and Applications
  • Year: 2007
  • Volume: 2
  • Issue: 2

On finite-time blow-up for a nonlocal quasi-linear parabolic problem describing shear bands in metals1

  • Author:
  • Zhoujin Cuia,b, Zuodong Yanga,c
  • Total Page Count: 10
  • Page Number: 177 to 186

aInstitute of Mathematics, School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu Nanjing 210097, China

bInstitute of Science, PLA University of Science and Technology, Jiangsu Nanjing 211101, China

cSchool of Zhongbei, Nanjing Normal University, Jiangsu Nanjing 210046, China

AMS subject classification: 35K55, 35K65, 35B35.

Abstract

In this paper we investigate results on finite-time blow-up of solutions to a nonlocal quasi-linear parabolic problem. We extend some known results to higher dimensions.

Keywords

Finite time blow-up, nonlocal, quasi-linear parabolic problem