Transition fronts for inhomogeneous monostable reaction-diffusion equations via linearization at zero, preprint

Abstract. We prove existence of transition fronts for a large class of reaction-diffusion equations in one dimension, with inhomogeneous monostable reactions. We construct these as perturbations of corresponding front-like solutions to the linearization of the PDE at u = 0. While a close relationship of the solutions to the two PDEs has been well known and exploited for KPP reactions (and our method is an extension of such ideas from [16]), to the best of our knowledge this is the first time such an approach has been used in the construction and study of fronts for non-KPP monostable reactions. 1

Application of microstructured fiber sensor in the field of temperature detection

A fiber temperature sensor based on no core fiber-few mode fiber-no core fiber (NCF-FMF-NCF) is proposed. It consists of two segments of NCF and a segment of FMF, with the NCF fused at both ends of the FMF. Meanwhile, the lengths of the NCF and FMF were optimized by simulation simulations and experimental validation. The results show that the sensor has a high sensitivity to the external refractive index (RI) changes, and enables a wide range of ambient temperature measurement. A sensitivity of 0.09445nm/? was obtained in a temperature range of 25-70?. The sensor has the advantages of high stability, good linear fit and simple structure