Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation
The main goal in this article is to justify that source-type and other global-in-time similarity solutions of the Cauchy problem for the fourth-order thin film equation $$ u_t=-\nabla \cdot (|u|^n \nabla \Delta u) \quad \text{in }\mathbb{R}^N \times \mathbb{R}_ + \text{where }n>0,\; N \ge...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-04-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/90/abstr.html |