TY - JOUR
T1 - Front propagation and blocking of reaction-diffusion systems in cylinders
AU - Guo, Hongjun
AU - Forbey, Jennifer
AU - Liu, Rongsong
N1 - Publisher Copyright:
© 2021 IOP Publishing Ltd & London Mathematical Society.
PY - 2021/10
Y1 - 2021/10
N2 - In this paper, we consider a bistable monotone reaction-diffusion system in cylindrical domains. We first prove the existence of the entire solution emanating from a planar front. Then, it is proved that the entire solution converges to a planar front if the propagation is complete and the domain is bilaterally straight. Finally, we give some geometrical conditions on the domain such that the propagation of the entire solution is complete or incomplete, respectively.
AB - In this paper, we consider a bistable monotone reaction-diffusion system in cylindrical domains. We first prove the existence of the entire solution emanating from a planar front. Then, it is proved that the entire solution converges to a planar front if the propagation is complete and the domain is bilaterally straight. Finally, we give some geometrical conditions on the domain such that the propagation of the entire solution is complete or incomplete, respectively.
KW - complete propagation
KW - entire solutions
KW - incomplete propagation
KW - reaction diffusion systems
UR - http://www.scopus.com/inward/record.url?scp=85114595586&partnerID=8YFLogxK
U2 - 10.1088/1361-6544/abd529
DO - 10.1088/1361-6544/abd529
M3 - Article
AN - SCOPUS:85114595586
SN - 0951-7715
VL - 34
SP - 6750
EP - 6772
JO - Nonlinearity
JF - Nonlinearity
IS - 10
ER -