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981.
Bing Sun 《Nonlinear Analysis: Real World Applications》2012,13(1):325-332
In this paper, the optimal distributed control of the viscous Dullin-Gottwald-Holm equation is investigated. Adopting the Dubovitskii and Milyutin functional analytical approach, we obtain the Pontryagin maximum principle of the system. The necessary optimality condition is established for an optimal control problem in fixed final horizon case. Finally, an illustrative example is also given. 相似文献
982.
《复变函数与椭圆型方程》2012,57(15):1125-1136
The aim of this article is to give explicit representations for solutions of the Robin boundary value problem for the Cauchy-Riemann operator [image omitted]. In the homogeneous cases we investigate the Robin boundary condition in a more general form. Finally, we give solutions of the corresponding higher-order operators. 相似文献
983.
Demonstration of the approximation of eliminating atomic excited populations in an atom-cavity system 下载免费PDF全文
Using the master equation approach to a V-type three-level atom inside a high-finesse single-mode cavity in the strong coupling condition,we demonstrate the approximation of eliminating populations of atomic excited states,which is widely used in the field of the atom-cavity systems [Hechenblaikner G,Gangl M,Horak P and Ritsch H 1998 Phys.Rev.A 58 3030];Liu L W,Tan T and Xu Y 2008 J.Mod.Opt.56 968;Cho J,Angelakis D G and Bose S 2008 Phys.Rev.A 78 062338.This is reflected in the deviation of the population δ,of which the value is 10~(-3)~10~(-2).We further find the deviation of the dipole force and demonstrate that the deviation of atomic population will not notably affect the dipole force of the atom in the strong coupling condition.A relevant experimental case is also presented. 相似文献
984.
A version of Hill's lemma for Cosserat continuum 总被引:4,自引:0,他引:4
On the basis of Hill's lemma for classical Cauchy continuum, a version of Hill's lemma for micro-macro homogenization modeling of heterogeneous Cosserat continuum is presented in the flame of average-field theory. The admissible boundary conditions required to prescribe on the representative volume element for the modeling are extracted and discussed to ensure the satisfaction of Hill-Mandel energy condition and the first-order average field theory. 相似文献
985.
Francisco J. Valdés-Parada Jose Alvarez-Ramirez Benoît Goyeau J. Alberto Ochoa-Tapia 《Transport in Porous Media》2009,78(3):459-476
In this paper, mass transfer at the fluid–porous medium boundaries is studied. The problem considers both diffusive and convective
transport, along with adsorption and reaction effects in the porous medium. The result is a mass flux jump condition that
is expressed in terms of effective transport coefficients. Such coefficients (a total dispersion tensor and effective reaction
and adsorption coefficients) may be computed from the solution of the corresponding closure problem here stated and solved
as a function of the Péclet number (Pe), the porosity and a local Thiele modulus. For the case of negligible convective transport (i.e., ), the closure problem reduces to the one recently solved by the authors for diffusion and reaction between a fluid and a
microporous medium. 相似文献
986.
Min Chan Kim Do-Young Yoon Joo Hyung Moon Chang Kyun Choi 《Transport in Porous Media》2008,74(3):369-380
When porous media saturated with initially stagnant cold water around the density maximum temperature are cooled from above,
convection may be induced in an unstable lower layer. In this study, the onset of buoyancy-driven convection during time-dependent
cooling is investigated using the propagation theory, which transforms disturbance equations similarly, and also considering
the density inversion effect. The critical Darcy–Rayleigh number Ra
D,c is found as a function of the dimensionless density maximum temperature θ
max. For Ra
D > Ra
D,c the dimensionless critical time τ
c to mark the onset of instability is presented as a function of Ra
D and θ
max. These critical conditions are compared with previous theoretical results. 相似文献
987.
The composite under investigation consists of an elastoplastic matrix reinforced by elastic particles or weakened by pores. The material forming the matrix is pressure-sensitive. The Drucker–Prager yield criterion and a one-parameter non-associated flow rule are employed to formulate the yield behavior of the matrix. The objective of this work is to estimate the effective elastoplastic behavior of the composite under isotropic tensile and compressive loadings. To achieve this objective, the composite sphere assemblage model of Hashin [Z. Hashin, The elastic moduli of heterogeneous materials, ASME J. Appl. Mech. 29 (1962) 143–150] is used. Exact solutions are thus derived as estimations for the effective secant and tangent bulk moduli of the composite. The effects of the loading modes and phase properties on the effective elastoplastic behavior of the composite are analytically and numerically evaluated. 相似文献
988.
989.
XU You-Sheng LIU Yang YANG Xiao-Feng WU Feng-Min 《理论物理通讯》2008,49(5):1319-1322
To investigate the convection in a porous medium, a horizontal
quiescent layer of one fluid saturating a porous medium heated from bottom is numerically studied using single lattice-Boltzmann method (LBM) and the generalized Navier-Stokes equation proposed by Nithiarasu et al. [P. Nithiarasu, K.M. Seetharamu, and T Sundararajan, Int. J. Heat Mass Trans. 40 (1997) 3955]. Due to the rarefaction, the boundary conditions are considered as both temperature jump and velocity slip. The computational results are validated against the
analytical results, and excellent agreement has been obtained. The
results have shown that the Rayleigh number is increased with
increasing temperature jump, the stabilization effect of
temperature is much more significant than that of velocity slip,
and the computation stability of present model is better than that
of Darcy and Brinkman models. 相似文献
990.
类凸向量均衡问题解的最优性条件 总被引:1,自引:1,他引:0
在实的局部凸的Hausdorff拓扑线性空间中,考虑带约束的向量均衡问题,利用凸集分离定理,给出了带约束的类凸向量均衡问题的弱有效解,Henig有效解,全局有效解和超有效解的充分必要条件,并通过举例说明了锥类凸映射是比锥凸映射更弱的映射。 相似文献