Bifurcation in a Reaction–Diffusion–Advection Equation with Nonlinear Boundary Conditions
In this paper, we study the existence and multiplicity of positive solutions of a reaction–diffusion–advection equation with nonlinear boundary conditions. The bifurcation phenomenon around the steady states is analyzed by Lyapunov–Schmidt reduction method based on an orthogonal decomposition of [Formula: see text]. Finally, the conclusion about bifurcation phenomenon is applied to two specific examples.
Authors
- Shangjiang Guo (ORCID: https://orcid.org/0000-0002-9114-5269)
- Kaikai Liu (ORCID: https://orcid.org/0000-0002-4507-7875)
Institutions
- China University of Geosciences (CN)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2025-04-07
- DOI
- https://doi.org/10.1142/s0218127425500774
- Citations
- 2
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 5.26
Funders
- National Natural Science Foundation of China
- China University of Geosciences