微分平流作用下反应扩散介质中的漂移孤立波
Drifting solitary waves in a reaction-diffusion medium with differential advection
摘要：
孤立波的传播存在的自催化，扩散，对称性破缺（微分）平流，正在研究中。重点在于漂移（与平流一起传播）脉冲，其在自催化活化剂的较低反应速率下经由对流不稳定性形成，即平流流克服快速激发并诱导漂移流体型行为。使用空间动力学分析的最小情况下的模型，我们提出的属性和组织的脉冲。这些见解是对简单反应-扩散-平流模型中局部运输的一般理解的基础，从而为潜在的化学和生物应用提供了背景。
英文摘要：
Propagation of solitary waves in the presence of autocatalysis, diffusion, and symmetry breaking (differential) advection, is being studied. The focus is on drifting (propagating with advection) pulses that form via a convective instability at lower reaction rates of the autocatalytic activator, i.e. the advective flow overcomes the fast excitation and induces a drifting fluid type behavior. Using spatial dynamics analysis of a minimal case model, we present the properties and the organization of such pulses. The insights underly a general understanding of localized transport in simple reaction-diffusion-advection models and thus provide a background to potential chemical and biological applications.
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