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- Title
First-Order Sign-Invariants and Exact Solutions of the Radially Symmetric Nonlinear Diffusion Equations with Gradient-Dependent Diffusivities.
- Authors
Ji, Lina; Luo, Xiankang; Zeng, Jiao; Xiao, Min; Meng, Yuanhua
- Abstract
The sign-invariant theory is used to study the radially symmetric nonlinear diffusion equations with gradient-dependent diffusivities. The first-order non-stationary sign-invariants and the first-order non-autonomous sign-invariants admitted by the governing equations are identified. As a consequence, the exact solutions to the resulting equations are constructed due to the corresponding reductions. The phenomena of blow-up, extinction and behavior of some solutions are also described.
- Subjects
BURGERS' equation
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 2, pN.PAG
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14020386