Investigation of the analyticity of dissipative–dispersive systems via a semigroup method
Abstract In this work, we study the analyticity of Kuramoto–Sivashinsky type equations and related systems by exploring the applicability of the semigroup method, which was developed in Collet et al. [5] . We establish the analyticity, with respect to the spatial variable in a strip around the real axis, for a variety of dissipative–dispersive systems, which possess universal attractors. We also provide lower bounds for the width of the strip of analyticity.
Abstract Herein we report the facile synthesis of freestanding silver dendrite (AgD)/graphene oxide (GO) composite membranes, and demonstrate their use as an efficient and robust substrate with large-area uniformity and good reproducibility for surface-enhanced Raman scattering (SERS) applications. The as-prepared composite membranes exhibit excellent sensitivity for detecting rhodamine 6G and 5,5′-dithiobis-(2-nitrobenzoic acid). The results suggest that AgD/GO nanocomposite membrane holds great promise as a high-performance SERS substrate for plasmonic sensing applications.