We address the Mach limit problem for Euler equations in analytic spaces. prove that, given data, solutions to compressible are uniformly bounded a suitable norm and then show that convergence toward incompressible solution holds norm. also same results hold more generally Gevrey data with norms.

In future high-speed self-routing photonic networks based on all-optical time division multiplexing (OTDM) it is highly desirable to carry out packet switching, clock recovery and demultplexing in the optical domain in order to avoid the bottleneck due to the optoelectronics conversion. In this paper we propose a self-routing OTDM node structure composed of an all-optical router and demultiplex...