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Global stability of V-shaped traveling fronts in combustion and degenerate monostable equations
- Source :
- Discrete & Continuous Dynamical Systems - A. 38:2251-2286
- Publication Year :
- 2018
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2018.
-
Abstract
- This paper is concerned with the global stability of V-shaped traveling fronts in reaction-diffusion equations with combustion and degenerate monostable nonlinearity. The existence of such curved fronts has been recently proved by [ 39 ]. In this paper, by constructing new subsolutions, we show the asymptotic stability of V-shaped traveling fronts.
- Subjects :
- Physics
Applied Mathematics
010102 general mathematics
Mathematical analysis
Degenerate energy levels
Combustion
01 natural sciences
Stability (probability)
010101 applied mathematics
Nonlinear system
Multivibrator
Exponential stability
Reaction–diffusion system
Discrete Mathematics and Combinatorics
0101 mathematics
Nonlinear Sciences::Pattern Formation and Solitons
Analysis
Subjects
Details
- ISSN :
- 15535231
- Volume :
- 38
- Database :
- OpenAIRE
- Journal :
- Discrete & Continuous Dynamical Systems - A
- Accession number :
- edsair.doi...........4daab71d4c82643cd8e863243fc9dc93
- Full Text :
- https://doi.org/10.3934/dcds.2018093