A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

We study the two-dimensional critical Ising model on a Möbius strip based on a duality relation between conformally invariant boundary conditions. By using a Majorana fermion field theory, we obtain explicit representations of crosscap states corresponding to the boundary states. We also discuss the duality structure of the partition functions. 1 typeset using PTPTEX.sty The continuum...

We remark on two free-boundary problems for holomorphic curves in nearly-Kähler 6-manifolds. First, we observe that a curve geodesic ball B of the round 6-sphere meets $$\partial B$$ orthogonally must be totally geodesic. Consequently, obtain rigidity results reflection-invariant $$\mathbb {S}^6$$ and associative cones {R}^7$$ . Second, consider with boundary Lagrangian submanifold strict 6-man...

a r t i c l e i n f o a b s t r a c t Asymptotic behavior of solutions as t → ∞ Asymptotic behavior of solutions as t → ∞ to the nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is studied. Initial– boundary value problems with two kinds of boundary data are considered. The first with homogeneous conditions on whole boundary and the seco...

in this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in banach spaces admitting the existence of a lower solution.

We apply a method of quasilinearization to a boundary value problem for an ordinary differential equation on an unbounded domain. A uniquely determined Green’s function, which is integrable and of fixed sign, is employed. The hypotheses to apply the quasilinearization method imply uniqueness of solutions. The quasilinearization method generates a bilateral iteration scheme in which the iterates...

Put in another way, for a compact manifold with boundary, if we know that the boundary is S(intrinsic geometry on the boundary) and totally geodesic (extrinsic geometry) then we recognize the manifold as the hemisphere S+, provided Ric ≥ (n− 1) g. To put this result in a context, we first recall the following Theorem 2. Let (M, g) be a compact Riemannian manifold with boundary and scalar curvat...

We show how non-compact space-time (ZZ branes) emerges as a limit of compact space-time (FZZT branes) for specific ratios between the square of the boundary cosmological constant and the bulk cosmological constant in the (2,2m 1) minimal model coupled to two-dimensional euclidean quantum gravity. Furthermore, we show that the principal (r,s) ZZ brane can be viewed as the basic (1,1) ZZ boundary...

We use a statistical framework for finding boundaries and for partitioning scenes into homogeneous regions. The model is a joint probability distribution for the a r ray of pixel gray levels and an a r ray of “labels.” In boundary finding, the labels a re binary, zero, or one, representing the absence o r presence of boundary elements. In partitioning, the label values a r e generic: two labels...