Given a compact four dimensional smooth Riemannian manifold (M, g) with smooth boundary, we consider the evolution equation by Q-curvature in the interior keeping the T -curvature and the mean curvature to be zero and the evolution equation by T -curvature at the boundary with the condition that the Q-curvature and the mean curvature vanish. Using integral method, we prove global existence and ...

In the present study, an immersed boundary (IB) method for the simulation of flow around a thin flexible body is presented. The present method is based on a discrete-forcing immersed boundary method proposed by Kim et al. (JCP, 2001). The dynamic equation for a thin flexible body is coupled with the incompressible Navier-Stokes equations. With the proposed method, we simulate several flow probl...

Vegetative filters (VF) are used to remove sediment and other pollutants from overland flow. When modeling the hydrology of VF, it is often assumed that overland flow is planar, but our research indicates that it can be two-dimensional with converging and diverging pathways. Our hypothesis is that flow convergence will negatively influence the sediment trapping capability of VF. The objectives ...

Analytic approximate solutions using Optimal Homotopy Perturbation Method (OHPM) are given for steady boundary layer flow over a nonlinearly stretching wall in presence of partial slip at the boundary. The governing equations are reduced to nonlinear ordinary differential equation by means of similarity transformations. Some examples are considered and the effects of different parameters are sh...

the spline finite strip method (s.f.s.m.) for buckling analysis of plates and plate assemblies subjected to longitudinal compression and bending, transverse compression as well as shear is described. the method allows for the boundary conditions. local buckling coefficients of plates with different boundary conditions under compression, bending and shear are calculated. convergence studies with...

In this paper, the authors present a modified convergent analytic algorithm for the solution of nonlinear boundary value problems by means of a variable parameter method and briefly, the method is called optimal variable parameter method. This method, based on the embedding of a parameter and an auxiliary operator, provides a computational advantage for the convergence of the approximate soluti...

The dynamics of flow inside a cylinder at high Reynolds number are considered. A study of the viscous boundary layer near the walls is performed. In the case where there is no pressure gradient, a result is proven demonstrating that a regular perturbation expansion holds for the solution, even when a small discontinuity exists in the wall data. In addition, the characteristic decay rate of the ...

An efficient matrix formalism for finding power series solutions to boundary value problems typical for technological plasticity is developed. Hyperbolic system of two first order quasilinear PDEs that models two-dimensional plastic flow of von Mises material is converted to the telegraph equation by the hodograph transformation. Solutions to the boundary value problems are found in terms of hy...

in this work, a numerical study of sheet cavitation has been performed on dtmb4119 marine propellers, using boundary element method (based on potential flow assumption). in propeller design, various parameters of geometry and flow are incorporated. so, a computer program is needed to take all parameters into account and solve the flow. capability of analyzing the wetted and cavitating flow arou...