201. Global existence and finite time blow-up for a class of thin-film equation
- Author
-
Zhihua Dong and Jun Zhou
- Subjects
Class (set theory) ,Applied Mathematics ,General Mathematics ,010102 general mathematics ,Mathematical analysis ,Mathematics::Analysis of PDEs ,General Physics and Astronomy ,01 natural sciences ,Upper and lower bounds ,010101 applied mathematics ,Nonlinear system ,Thin-film equation ,0101 mathematics ,Finite time ,Constant (mathematics) ,Mathematics - Abstract
This paper deals with a class of thin-film equation, which was considered in Li et al. (Nonlinear Anal Theory Methods Appl 147:96–109, 2016), where the case of lower initial energy ( $$J(u_0)\le d$$ and d is a positive constant) was discussed, and the conditions on global existence or blow-up are given. We extend the results of this paper on two aspects: Firstly, we consider the upper and lower bounds of blow-up time and asymptotic behavior when $$J(u_0)d$$ .
- Published
- 2017