No abstract

At present IoT is immensely a descriptive term of a vision that everything should be connected to the internet. IoT applications have been widely used in several fields of social living such as healthcare and social products, industrial automation and energy. In this scenario, there are more than 14 billion interconnected digital and electronic devices in operation worldwide, the equivalent of almost two devices for every human being on earth. The IoT connects different nonliving objects through the internet and enables them to share information with their community network to automate processes for human beings and makes their lives convenient. Subsequently, objects are being amalgamated with internet connectivity and powerful data analysis capabilities that promise to change the way we work and live. The Internet is a worldwide system of interconnected computer networks that use the standard Internet protocol suite (TCP/IP) to serve billions of users globally. The most vital characteristics of IoT include connectivity, active engagement, connectivity, sensors, artificial intelligence, and small device use. This paper provides an overview of existing Internet of Things (IoT), technical details, and applications in this new emerging area as well as we are thoroughly analyzing the layer about the IoT. However, this manuscript will give a better understanding for the new researchers, who want to do research in this field of Internet of Things.

We study the global existence issue for a three-dimensional Approximate Deconvolution Model with a vertical filter. We consider this model in a bounded cylindrical domain where we construct a unique global weak solution. The proof is based on a refinement of the energy method given by Berselli in [3].

In this paper, we consider two Approximate Deconvolution Magnetohydrodynamics models which are related to Large Eddy Simulation. We first study existence and uniqueness of solutions in the double viscous case. Then, we study existence and uniqueness of solutions of the Approximate Deconvolution MHD model with magnetic diffusivity, but without kinematic viscosity. In each case, we give the optimal value of regularizations where we can prove global existence and uniqueness of the solutions. The second model includes the Approximate Deconvolution Euler Model as a particular case. Finally, an asymptotic stability result is shown in the double viscous case with weaker condition on the regularization parameter. MSC: 76D05; 35Q30; 76F65; 76D03 $LaTeX: 2018/11/4 $ the triplet (w, B, q) fulfill T 0 ∂ t w, ϕ − D N,θ (w) ⊗ D N,θ (w), ∇ϕ + ν ∇w, ∇ϕ + ∇q, ϕ dt + T 0 (B) ⊗ (B), ∇ϕ dt = 0 for all ϕ ∈ L 2 (0, T ; H 3 2 −2θ ), (1.7) T 0 ∂ t B, ϕ + D N,θ (w) ⊗ B, ∇ϕ + µ ∇B, ∇ϕ dt − T 0

We study a regularization of the rotational Navier-Stokes equations that we call the Rotational Approximate Deconvolution Model (RADM). We generalize the deconvolution model, studied by Berselli and Lewandowski in (Convergence of Approximate Deconvolution Models to the mean Navier-Stokes equations. Annales de l'Institut Henri Poincare (C), NonLinear Analysis. 2012;29:171-198), to the RADM with fractional regularization, where the convergence of the solution is studied with weaker conditions on the parameter regularization.

In this paper, we study the Modified Leray alpha model with periodic boundary conditions. We show that the regular solution verifies a sequence of energy inequalities that is called "ladder inequalities". Furthermore, we estimate some quantities of physical relevance in terms of the Reynolds number.MSC:76B03; 76F05; 76D05; 35Q30.

In this paper, we establish the existence of a unique "regular" weak solution to the Large Eddy Simulation (LES) models of turbulence with critical regularization. We first consider the critical LES for the Navier-Stokes equations and we show that its solution converges to a solution of the Navier-Stokes equations as the averaging radii converge to zero. Then we extend the study to the critical LES for Magnetohydrodynamics equations. MSC: 35Q30, 35Q35, 76F60

Abstract. In this paper, we establish the existence of a unique "regular" weak solution to turbulent flows governed by a general family of α models with critical regularizations. In particular this family contains the simplified Bardina model and the modified Leray-α model. When the regularizations are subcritical, we prove the existence of weak solutions and we establish an upper bound on the Hausdorff dimension of the time singular set of those weak solutions. The result is an interpolation between the bound proved by Scheffer for the Navier-Stokes equations and the regularity result in the critical case.