in this paper we study the boundary layer problems in which boundary conditions are non-local. here we try to find the necessary conditions by the help of fundamental solution to the given adjoint equation. by getting help from these conditions, at first the boundary condition is changed from non-local to local. the main aim of this paper is to identify the location of the boundary layer. in ot...

We establish an abstract infinite dimensional KAM theorem dealing with unbounded perturbation vector-field, which could be applied to a large class of Hamiltonian PDEs containing the derivative ∂x in the perturbation. Especially, in this range of application lie a class of derivative nonlinear Schrödinger equations with Dirichlet boundary conditions and perturbed Benjamin-Ono equation with peri...

the effect of boundary conditions on the solution of the inverse problem of identifying the geometry and location of a cavity inside an elastic solid body using displacement measurements obtained from a tension test is investigated. the boundary elements method (bem) coupled with the genetic algorithm (ga) and the conjugate gradient method (cgm) are implemented in this identification problem. a...

In this paper, an analytical method is developed to obtain the solution for the one dimensional transient thermal and mechanical stresses in a hollow cylinder made of functionally graded material (FGM) and piezoelectric layers. The FGM properties are assumed to depend on the variable r and they are expressed as power functions of r but the Poisson’s ratio is assumed to be constant. Transient te...

Should individuals delegate thinking about complex choice problems to the unconscious? We tested two boundary conditions on this suggestion. First, we found that in a decision environment similar to those studied previously, self-paced conscious thought and unconscious thought had similar advantages over conscious thought constrained to a long fixed time interval in terms of identifying the opt...

Particle based methods for the description of hydrodynamic or fluid phenomena have attracted much interest during the last decade. Methods like the Multi-Particle Collision Dynamics method [1] (MPCD) or the Direct Simulation Monte Carlo method [2] (DSMC) represent schemes which close the gap between a purely microscopic description of matter, characterised by force fields, and a macroscopic con...

We consider the effects of homogeneous Dirichlet’s boundary conditions in the scalar electrodynamics with self-interaction. We have found for a critical scale of the compactification length that symmetry is restored and scalar field develops mass and vector field does not. PACS numbers: 11.10 Gh, 11.90+t, 03.70+k, 02.90

Several collaborations have employed O(a) improved Wilson fermions, following the nonperturbative determination of the clover coefficient csw for Nf = 2 flavours in the range β ≥ 5.2 [1]. UKQCD, QCDSF and JLQCD perform simulations on physically large volumes (L ∼ 1.5 fm) using periodic boundary conditions [2–4], whereas ALPHA use Schrödinger functional (SF) boundary conditions on small volumes ...

In this paper, we consider second order differential inclusions with periodic boundary conditions. We obtain the existence of positive solutions and of continuous branches of positive solutions.

I derive a general set of boundary conditions for quasiclassical transport theory of metals and superconductors that is valid for equilibrium and nonequilibrium situations and includes multiband systems, weakly and strongly spin-polarized systems, and disordered systems. The formulation is in terms of the normal state scattering matrix. Various special cases for boundary conditions are known in...