نتایج جستجو برای: radiation boundary conditions

تعداد نتایج: 1182455  

Journal: :Asymptotic Analysis 2013
Guy Barles Elisabeth Mironescu

We study two types of asymptotic problems whose common feature and difficultyis to exhibit oscillating Dirichlet boundary conditions : the main contribution of this article is to show how to recover the Dirichlet boundary condition for the limiting equation. These two types of problems are (i) periodic homogenization problems for fully nonlinear, second-order elliptic partial differential equat...

Journal: :Applied Mathematics and Computation 2001
Drumi D. Bainov Snezhana G. Hristova

The method of quasilinearization of Bellman and Kalaba [2] has been extended, refined, and generalized when the forcing function is the sum of a convex and concave function using coupled lower and upper solutions. This method is now known as the method of generalized quasilinearization. It has all the advantages of the quasilinearization method such that the iterates are solutions of linear sys...

2003
Rupert L. Frank Heinz Siedentop

We study spectral and scattering properties of the Laplacian H = −∆ in L2(R+) corresponding to the boundary condition ∂u ∂ν + σu = 0 for a wide class of periodic functions σ. The Floquet decomposition leads to problems on an unbounded cell which are analyzed in detail. We prove that the wave operators W±(H ,H) exist. 2000 Mathematics Subject Classification: Primary 35J10; Secondary 35J25, 35P05...

2003
O. WITTICH

The effective dynamic of a quantum particle on the tubular neighbourhood of some closed submanifold of a riemannian manifold can be described by an effective dynamic on the submanifold as the diameter of the tube decreases to zero. It depends whether Dirichletor Neumann conditions are imposed at the boundary of the tube.

2014
ZAINAL ABIDIN AHMAD SAFIAN SHARIF

A transient two-dimensional model is developed and numericaUy solved to specifically investigate the effects of CNC motion and workpiece boundary on cutting front mobility and temperature in reactive-gas assisted C01 laser cutting. Co-ordinated motion systems must ramp up and down to their desired speeds, and therefore the initial actuator acceleration is considered for its effect on the cuttin...

2002
SHUHONG XU JU LI CHONGHE LI FRANK CHAN Roger Sayle

This paper introduces the immersive visualisation of nano-indentation simulation of Cu. The molecular dynamics simulation is performed in a system consisting of 326,592 atoms of size 18.6 × 17.0 × 18.4 nm, under periodic boundary conditions. Based on the coordination number calculation, a practical method for the extraction of “extraordinary” atoms is developed. The simulation has been visualis...

Journal: :SIAM J. Applied Dynamical Systems 2017
Farshad Shirani Wassim M. Haddad Rafael de la Llave

This paper investigates the global dynamics of a mean field model of the electroencephalogram developed by Liley et al., 2002. The model is presented as a system of coupled ordinary and partial differential equations with periodic boundary conditions. Existence, uniqueness, and regularity of weak and strong solutions of the model are established in appropriate function spaces, and the associate...

2007
Jens Frehse Michael Ružička JENS FREHSE MICHAEL RŮŽIČKA

In this paper we show the existence of regular solutions of the Rothe–approximation of the unsteady Navier–Stokes equations with periodic boundary condition in arbitrary dimension. The result relies on techniques developed by the authors in the study of the higher–dimensional steady Navier–Stokes equations.

2011
Piotr Zgliczyński PIOTR ZGLICZYŃSKI

We apply the method of self-consistent bounds to prove the existence of multiple steady state bifurcations for Kuramoto-Sivashinski PDE on the line with odd and periodic boundary conditions.

2010
Klemens Fellner

where t ≥ 0 denotes time and x ∈ Ω ⊂ R position typical within a d−dimensional bounded domain Ω with “sufficiently smooth” boundary or Ω = R. The states u = (u1, . . . , um), i = 1, . . . , m describe the concentrations or densities of substances/populations ui = ui(t, x). The functions di(t, x) are called diffusion coefficients or diffusivities. On a bounded domain Ω the eqs. (1) have to be co...

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