Abstract: In edge-fog computing networks, it is very crucial to ensure that group keys are secure and reliable. In recent years, there has been much interest in group key updating schemes based on ...

We introduce a new type of production function, called approximate Cobb-Douglas function, by a perturbation of Euler's partial differential equation characterizing homogeneous function. We show that ...

We study stationary homogeneous solutions to the 3D Euler equation. The problem is motivated by recent exclusions of self-similar blowup for Euler and its relation to the Onsager conjecture and ...