Non-uniform black strings in the two-brane system are investigated using the effective action approach. It is shown that the radion acts as a non-trivial hair of black strings. The stability of solutions is demonstrated using the catastrophe theory. The black strings are shown to be non-uniform.

Abstract As an approximate theory that is highly regarded for its computational efficiency, geometrical optics (GO) widely used modeling waves in various areas of physics. However, GO fails at caustics, which significantly limits applicability. A new framework, called metaplectic (MGO), has recently been developed allows caustics certain types to be modeled accurately within the framework. Here...

This paper considers the spreading speed of cooperative nonlocal dispersal systems with irreducible reaction functions and non-uniform initial data. Here non-uniformity means that all components data decay exponentially but their rates are different. It is well-known in a monostable reaction-diffusion or equation, different yield speeds. In this paper, we show due to cooperation irreducibility ...

We compare the effectiveness of uniform versus non-uniform waveband switching under the dual cost metrics of switching requirements and fiber capacity. We consider a star topology and begin by characterizing the optimal performance frontier achievable under no restrictions on waveband sizing, and provide algorithms employing non-uniform waveband sizing that approach or achieve this optimum. We ...