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- W2904280714 abstract "Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly perturbed reaction-advection-diffusion equation with spatially varying coefficients. We rigorously establish existence of stationary pulse solutions by blending techniques from geometric singular perturbation theory with bounds derived from the theory of exponential dichotomies. Moreover, the spectral stability of these solutions is determined, using similar methods. It is found that, due to the break-down of translation invariance, the presence of spatially varying terms can stabilize or destabilize a pulse solution. In particular, this leads to the discovery of a pitchfork bifurcation and existence of stationary multi-pulse solutions." @default.
- W2904280714 created "2018-12-22" @default.
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- W2904280714 date "2018-12-19" @default.
- W2904280714 modified "2023-09-27" @default.
- W2904280714 title "Pulse solutions for an extended Klausmeier model with spatially varying coefficients" @default.
- W2904280714 hasPublicationYear "2018" @default.
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