Complete classification of self-similar solutions for singular polytropic filtration equations
This article concerns the complete classification of self-similar solutions to the singular polytropic filtration equation. We establish the existence and uniqueness of self-similar solutions of the form $u(x,t)=(\beta t)^{-\alpha/\beta}w((\beta t)^{-\frac{1}{\beta}}|x|)$, and the regularity or sing...
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| Main Authors: | Yanzhi Zheng, Jingxue Yin, Shanming Ji |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-06-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/63/abstr.html |
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