Global and blow-up of solutions for a quasilinear parabolic system with viscoelastic and source terms
โ Scribed by Liu, Gongwei; Chen, Hua
- Book ID
- 120372968
- Publisher
- John Wiley and Sons
- Year
- 2013
- Tongue
- English
- Weight
- 143 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.2792
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we consider a quasilinear viscoelastic wave equation in canonical form with the homogeneous Dirichlet boundary condition. We prove that, for certain class of relaxation functions and certain initial data in the stable set, the decay rate of the solution energy is similar to that of the
The type of problem under consideration is where D is a smooth bounded domain of R N, By constructing an auxiliary function and using Hopf's maximum principles on it, existence theorems of blow-up solutions, upper bound of "blow-up time", upper estimates of "blow-up rate", existence theorems of glo
This paper deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut = A@ + v\*enu, vt = Au" + uaeflv with homogeneous Dirichlet boundary data. The results depend crucially on the sign of the difference pq -pclv and on the domain R.