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991.
Starting from a sigma‐model for a doubled target‐space geometry, we show that the number of target‐space dimensions can be reduced by half through a gauging procedure. We apply this formalism to a class of backgrounds relevant for double field theory, and illustrate how choosing different gaugings leads to string‐theory configurations T‐dual to each other. We furthermore discuss that given a conformal doubled theory, the reduced theories are conformal as well. As an example we consider the three‐dimensional WZW model and show that the only possible reduced backgrounds are the cigar and trumpet CFTs in two dimensions, which are indeed T‐dual to each other. 相似文献
992.
Shi Wei-hui 《应用数学和力学(英文版)》1994,15(12):1125-1130
In this paper, the necessary conditions of the existence of C2 solutions in some initial problems of Navier-Stokes equations are given, and examples of instability of initial value (at
t=0) problems are also given. The initial value problem of Navier-Stokes equation is one of the most fundamental problem for
this equation various authors studies this problem and contributed a number of results. J. Lerav, a French professor, proved
the existence of Navier-Stokes equation under certain defined initial and boundary value conditions. In this paper, with certain
rigorously defined key concepts, based upon the basic theory of J. Hadamard partial differential equations1, gives a fundamental theory of instability of Navier-Stokes equations. Finally, many examples are given, proofs referring
to Ref. [4]. 相似文献
993.
采用常数边界元对船舶与流体界面进行离散,求解船舶兴波势及船舶兴波阻力。这种方法可避免在船舶与流体自由面交线上安置节点,因而避免了这些节点建立补充方程。因为满足自由面条件的Havelock源函数的源点和场点不能同时在自由面上,使得自由面上的节点无法用Havelock源函数的建立方程。如对自由面交线上的节点建立补充方程,则要对线性自由面条件中包含的未知势函数的二阶导数用差分形式表达,引入较大误差。 相似文献
994.
Steady laminar forced convection gaseous slip-flow through parallel-plates micro-channel filled with porous medium under Local
Thermal Non-Equilibrium (LTNE) condition is studied numerically. We consider incompressible Newtonian gas flow, which is hydrodynamically
fully developed while thermally is developing. The Darcy–Brinkman–Forchheimer model embedded in the Navier–Stokes equations
is used to model the flow within the porous domain. The present study reports the effect of several operating parameters on
velocity slip and temperature jump at the wall. Mainly, the current study demonstrates the effects of: Knudsen number (Kn),
Darcy number (Da), Forchheimer number (Γ), Peclet number (Pe), Biot number (Bi), and effective thermal conductivity ratio
(K
R) on velocity slip and temperature jump at the wall. Results are given in terms of skin friction (C
f
Re
*) and Nusselt number (Nu). It is found that the skin friction: (1) increases as Darcy number increases; (2) decreases as Forchheimer
number or Knudsen number increases. Heat transfer is found to (1) decreases as the Knudsen number, Forchheimer number, or
K
R increases; (2) increases as the Peclet number, Darcy number, or Biot number increases. 相似文献
995.
Similarity solutions for the flow of a non-ideal gas behind a strong exponential shock driven out by a piston (cylindrical
or spherical) moving with time according to an exponential law are obtained. Similarity solutions exist only when the surrounding
medium is of constant density. Solutions are obtained, in both the cases, when the flow between the shock and the piston is
isothermal or adiabatic. It is found that the assumption of zero temperature gradient brings a profound change in the density
distribution as compare to that of the adiabatic case. Effects of the non-idealness of the gas on the flow-field between the
shock and the piston are investigated. The variations of density-ratio across the shock and the location of the piston with
the parameter of non-idealness of the gas are also obtained. 相似文献
996.
《Wave Motion》2020
Working in the context of poroacoustics, we present new, physically relevant, explicit solutions to the Cauchy problem for the model we term the (1D) damped Riemann equation. The solitary waveforms that evolve from both Lorentzian (-smooth) and symmetric-exponential (-smooth) initial conditions are analyzed, the focus being on wave overturning and the evolution/structure of the shocks which develop thereafter. In addition to those for both the multi- and single-valued forms of each solution, expressions for the shock amplitude, velocity, and critical values of the physical parameters are derived/compared. Lastly, links to other areas of continuum physics, and possible follow-on investigations, are noted. 相似文献
997.
The boundary value problem of elastostatics in terms of six components of the stress consists of nine equations and three
boundary conditions. In this paper, we distinguished between the possible cases and impossible cases, i.e., the problem is
or is not equivalent to a boundary value problem of six equations and six boundary conditions. 相似文献
998.
A. D. Matveev 《Journal of Applied Mechanics and Technical Physics》2004,45(4):591-597
Mixed formulations of bending problems for homogeneous plates (beams) are proposed, whose essence is that the deformation of a plate (beam) near its fixed boundary is described by the threedimensional elasticity equations, and the remaining part by the conventional equations of plate (beam) bending. At the interface between these regions, the solutions of these equations are joined. The mixed formulation allows one to describe the threedimensional stress state in the neighborhood of the fixed boundaries of plates (beams) and take into account the complex nature of the fixing conditions. Finiteelement implementation is more efficient for the mixed formulations of plate (beam) bending problems than for the wellknown threedimensional formulations. 相似文献
999.
SOLVINGTHEFREEBOUNDARYPROBLEMINCONTINUOUSCASTINGBYUSINGBOUNDARYELEMENTMETHODLiYaoyong(李耀勇);ZhangZhili(张自立)(ReceivedJune,18,19... 相似文献
1000.
滑动界面的球形夹杂问题 总被引:3,自引:0,他引:3
滑动界面对多相介质力学性能的影响日益受到重视.但已有的解析结果往往假定界面是自由滑动的.即假设界面上的剪应力为零,这与大多数实际情况并不相符.本文假定界面上剪应力不为零并满足线弹簧型界面条件,在这一前提下,首次获得了球形夹杂本征应变问题的解析解. 相似文献