We formulate the generalized Forchheimer equations for three-dimensional fluid flows in rotating porous media. By implicitly solving momentum terms of pressure’s gradient, we derive a degenerate parabolic equation density case slightly compressible fluids and study its corresponding initial boundary value problem. investigate nonlinear structure equation. The maximum principle is proved used to...

In “An Improved Approximation Algorithm for TSP,” Karlin, Klein, and Oveis Gharan design the first improvement over classical 1.5 approximation algorithm of Christofides-Serdyukov after more than 40 years. Their chooses a random spanning tree from maximum entropy distribution trees with marginals equal to optimum LP solution TSP, then, similar Christofides’ algorithm, it adds minimum cost match...

In this work, we study the quantum Fisher information (QFI) per particle of an open (particles can enter and leave the system) and dissipative (far from thermodynamical equilibrium) steady state system of two qubits in noisy channels. We concentrate on two noisy channels these are dephasing and non-dephasing channels. We will show that under certain conditions QFI per particle is slightly great...