Publication Date:
2015-08-05
Description:
This paper is concerned with the existence and some qualitative properties of entire solutions for a reaction-advection-diffusion equation in infinite cylinders with time periodic bistable nonlinearity. Here, an entire solution means a solution defined in the whole space and for all time t ∈ ℝ. By the comparison principle coupled with the supersolution and subsolution technique, it is proved that there exists an entire solution. Furthermore, it is shown that such an entire solution is unique and Liapunov stable. Unlike the reaction-diffusion equation without advection, the lack of symmetry between increasing and decreasing traveling fronts caused by the advection affects the construction of supersolutions and subsolutions.
Print ISSN:
0022-2488
Electronic ISSN:
1089-7658
Topics:
Mathematics
,
Physics
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