We study the asymptotic behavior of axisymmetric solutions with no swirl to steady Navier-Stokes equations in outside cylinder. prove an a priori decay estimate vorticity under assumption that velocity has generalized finite Dirichlet integral. As application, we obtain Liouville-type theorem.

Integral identities created in inequality theory studies help to prove many inequalities. Recently, different fractional integral and derivative operators have been used achieve these identities. In this article, with the of Atangana-Baleanu operators, an identity was first obtained various inequalities for convex functions proved using identity. last part simulation graphs are given reveal con...

Integral inequalities for ?-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented via operator. A novel parameterized auxiliary identity involving proposed differentiable mappings. By identity, we derive several Ostrowski whose absolute values It that the obtained outcomes exhibit classical c...

Article history: Received 23 December 2013 Received in revised form 15 April 2014 Accepted 15 April 2014 Available online 18 April 2014 Editor: M. Cvetič Considering two dimensional gravity coupled to a CFT, we show that a semiclassical black hole can be described in terms of two Liouville theories matched at the horizon. The black hole exterior corresponds to a space-like while the interior to...

We study the asymptotic behavior of solutions to steady Navier-Stokes equations outside an infinite cylinder in R3. assume that flow is periodic x3-direction and has no swirl. This problem closely related with two-dimensional exterior problem. Under a condition on generalized finite Dirichlet integral, we give pointwise decay estimate vorticity at spatial infinity. reveals relation between inte...