Critical curves of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions
- Resource Type
- Authors
- Zejian Cui
- Source
- Nonlinear Analysis: Theory, Methods & Applications. 68:3201-3208
- Subject
- Fujita scale
Applied Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Filtration (mathematics)
Boundary value problem
Polytropic process
Analysis
Nonlinear boundary conditions
Non-Newtonian fluid
Mathematics
- Language
- ISSN
- 0362-546X
In this paper, we consider the existence and non-existence of global solutions of the non-Newtonian polytropic filtration equations with nonlinear boundary conditions. We first obtain the critical global existence curve by constructing various self-similar supersolutions and subsolutions. And then the critical Fujita curve is conjectured with the aid of some new results.