Spiky patterns for the Schnakenberg model with advection term on Y-shaped metric graph
In this paper, we study the existence of spiky stationary solutions for reaction-diffusion-advection systems on the Y-shaped metric graph. Considering the Schnakenberg chemical reaction system with advection term, we investigate the effect of the advection and the network-structure of the graph on s...
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Published in | Journal of mathematical analysis and applications Vol. 535; no. 2; p. 128149 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Elsevier Inc
15.07.2024
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Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we study the existence of spiky stationary solutions for reaction-diffusion-advection systems on the Y-shaped metric graph. Considering the Schnakenberg chemical reaction system with advection term, we investigate the effect of the advection and the network-structure of the graph on spiky solutions in details. In particular, the location and amplitude of spikes are decided by the interaction of the advection with the geometry of the graph, represented by the associated Green's functions. Moreover, we show that the direction of the shift of spikes depends on the choice of boundary conditions and the size of the advection velocity. |
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ISSN: | 0022-247X 1096-0813 |
DOI: | 10.1016/j.jmaa.2024.128149 |