the purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of sturm-liouville problem with equation of the form w??=(?2f(x)?r(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in c2(a,b which has a single zero (so called turning point) at point 0x=x and r(x) is a continuously differentiable function. ...

We develop complete plane wave expansions for time-dependent waves in a halfspace and use them to construct arbitrary-order local radiation boundary conditions for the scalar wave equation and equivalent first order systems. We demonstrate that, unlike other local methods, boundary conditions based on complete plane wave expansions provide nearly uniform accuracy over long time intervals. This ...

Grain boundaries and their networks have a profound influence on the functional and structural properties of every class of polycrystalline materials and play a critical role in structural evolution and phase transformations. Recent experimental advances enable a full crystallographic characterization, including the boundary misorientation and inclination parameters, of grain boundaries. Despit...

the simple method for height determination is spirit leveling. the leveled height differences are path-dependent. ergo height from spirit leveling is not unique. the problem can be solved by converting the path-dependent leveled height differences into unique path-independent height differences (vanicek and krakiwsky, 1986). the difference between the potentials of two close equipotential surfa...

a lattice boltzmann method is applied to demonstrate the comparison results of simulating natural convection in an open end cavity using different hydrodynamic and thermal boundary conditions. the prandtl number in the present simulation is 0.71, rayleigh numbers are 104,105 and 106 and viscosities are selected 0.02 and 0.05. on-grid bounce-back method with first-order accuracy and non-slip met...

We investigate existence and regularity properties of one-phase free boundary graphs, in connection with the question of whether there exists a complete nonplanar free boundary graph in high dimensions.

In this paper, the dynamic analysis of the composite sandwich truncated conical shells (STCS) with various boundary conditions subjected to the low velocity impact was studied analytically, based on the higher order sandwich panel theory. The impact was assumed to occur normally over the top face-sheet, and the contact force history was predicted using two solution models of the motion which we...

The downstream evolution of the vorticity field in the vicinity of hairpinshaped regions of rotational motion appearing in the transitioning boundary layer is examined. It is shown that the dynamics of hairpins is inseparable from that of the non-rotational vorticity out of which they develop in a self-reinforcing process of ejection and reorientation. Widening the concept of structure to inclu...

wetlands as water resources have a special place in the semi-arid plateau of iran and boundary determination is necessary for their effective conservation and conflict resolution among stakeholders that are dependent on these resources. determination of the wetland boundaries should be commensurate with environmental features affecting on it which normally extend beyond water extent. ecological...

Complete bicornuate uterus is a type of Mullerian duct deformity, resulting from abnormal duct fusion. Similar to other Mullerian anomalies, bicornuate uterus is associated with specific complications during possible pregnancies. While various studies have reported successful deliveries in a bicornuate uterus, it might be accompanied with various complications, ranging from preterm labor to mor...