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...
Saved in:
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
ASYMPTOTIC SOLUTIONS OF A PARABOLIC EQUATION NEAR SINGULAR POINTS OF \(A\) AND \(B\) TYPES
by: Sergey V. Zakharov
Published: (2019-07-01) -
Existence of regular and singular bound state solutions to a quasilinear equation
by: Wei-Chuan Wang
Published: (2025-07-01) -
Asymptotics of Eigenvalues of First Boundary Value Problem for Singularly Pertubed Second-order Differential Equation with Turning Points
by: S. A. Kaschenko
Published: (2015-10-01) -
Asymptotic Expansions of Eigenvalues of Periodic and Antiperiodic Boundary Problems for Singularly Perturbed Second Order Differential Equation with Turning Points
by: S. A. Kashchenko
Published: (2016-02-01) -
Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian)
by: А. A. Kozma
Published: (2011-11-01)