Periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity
Abstract: This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity. We first determine the signs of wave speeds for two monostable periodic traveling fronts of the system. Then, we prove the existence of periodic traveling fronts connecting two stable periodic solutions. An estimate of the wave speed is also obtained. Further, we prove the monotonicity, uniqueness (up to a translation), Liapunov stability and exponentially asymptotical stability of the smooth bistable periodic traveling fronts.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity ; volume:9 ; number:1 ; year:2019 ; pages:923-957 ; extent:35
Advances in nonlinear analysis ; 9, Heft 1 (2019), 923-957 (gesamt 35)
- Urheber
-
Wu, Shi-Liang
Hsu, Cheng-Hsiung
- DOI
-
10.1515/anona-2020-0033
- URN
-
urn:nbn:de:101:1-2405021604295.915227842250
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 10:44 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Wu, Shi-Liang
- Hsu, Cheng-Hsiung
Ähnliche Objekte (12)
Curved fronts of bistable reaction–diffusion equations with nonlinear convection
Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term
Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term
Reaction–Diffusion Problems on Time-Periodic Domains
Periodic Traveling Water Waves with Isobaric Streamlines
Stability and traveling fronts for a food chain reaction-diffusion systems with nonlocal delays
Small noise analysis of time-periodic bistable jump diffusion
On Irrotational Flows Beneath Periodic Traveling Equatorial Waves
Traveling Quasi-periodic Water Waves with Constant Vorticity
Sufficient conditions for orbital stability of periodic traveling waves
Bistable traveling waves under discretization: moving meshes
Transverse Dynamics of Two-Dimensional Traveling Periodic Gravity–Capillary Water Waves
Curved fronts of bistable reaction–diffusion equations with nonlinear convection
Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term
Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term
Reaction–Diffusion Problems on Time-Periodic Domains
Periodic Traveling Water Waves with Isobaric Streamlines
Stability and traveling fronts for a food chain reaction-diffusion systems with nonlocal delays
Small noise analysis of time-periodic bistable jump diffusion
On Irrotational Flows Beneath Periodic Traveling Equatorial Waves
Traveling Quasi-periodic Water Waves with Constant Vorticity
Sufficient conditions for orbital stability of periodic traveling waves
Bistable traveling waves under discretization: moving meshes
Transverse Dynamics of Two-Dimensional Traveling Periodic Gravity–Capillary Water Waves
Curved fronts of bistable reaction–diffusion equations with nonlinear convection
Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term
Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term
Reaction–Diffusion Problems on Time-Periodic Domains
Periodic Traveling Water Waves with Isobaric Streamlines
Stability and traveling fronts for a food chain reaction-diffusion systems with nonlocal delays
Small noise analysis of time-periodic bistable jump diffusion
On Irrotational Flows Beneath Periodic Traveling Equatorial Waves
Traveling Quasi-periodic Water Waves with Constant Vorticity
Sufficient conditions for orbital stability of periodic traveling waves
Bistable traveling waves under discretization: moving meshes