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991.
Jin Wang 《Fluid Dynamics Research》2008,40(2):155-161
We use a formal asymptotic analysis to study the effects of weak viscosity on interfacial Stokes waves, which are nonlinear, periodic and steady progressive motions between two incompressible fluids. Our results provide a natural representation of viscous contribution to the motion of Stokes waves. 相似文献
992.
This study discusses wave propagation in perhaps the most general model of a poroelastic medium. The medium is considered as a viscoelastic, anisotropic and porous solid frame such that its pores of anisotropic permeability are filled with a viscous fluid. The anisotropy considered is of general type, and the attenuating waves in the medium are treated as the inhomogeneous waves. The complex slowness vector is resolved to define the phase velocity, homogeneous attenuation, inhomogeneous attenuation, and angle of attenuation for each of the four attenuating waves in the medium. A non-dimensional parameter measures the deviation of an inhomogeneous wave from its homogeneous version. An numerical model of a North-Sea sandstone is used to analyze the effects of the propagation direction, inhomogeneity parameter, frequency regime, anisotropy symmetry, anelasticity of the frame, and viscosity of the pore-fluid on the propagation characteristics of waves in such a medium. 相似文献
993.
A. Wierschem V. Bontozoglou C. Heining H. Uecker N. Aksel 《International Journal of Multiphase Flow》2008,34(6):580-589
We study viscous gravity-driven films flowing over periodically undulated substrates. Linear analysis describes steady flow along small amplitude corrugations for films of arbitrary thickness. Solving the resulting system numerically, we demonstrate resonance (or, possibly, near resonance) and identify different behaviours for thin, intermediate and thick films. Approximating the leading-order velocity profile by the free surface value allows for an analytic solution, which – in the limit of high Reynolds numbers – recovers the different regimes and reveals the relevant physical mechanisms. Our results support the view that the resonance is associated with an interaction of the undulated film with capillary-gravity waves travelling against the mean flow direction. As a consequence, the resonance peak is attained under conditions that render the wave phase velocity equal to zero in the laboratory reference frame, and thus permit direct exchange of energy between the steadily deformed film and the free surface. 相似文献
994.
模拟畸形波的聚焦波浪模型 总被引:5,自引:0,他引:5
利用改进的高阶谱方法建立了模拟极限波的二维聚焦模型,通过与Baldock(1996)的实验结果和理论值的比较,验证了模型的正确性,并分析了波浪非线性的相互作用对聚焦结果的影响. 通过改进Longuet-Higgins海浪模型,给出了4种实验室聚焦模拟畸形波的波浪模型:极限波聚焦模型+随机波模型;极限波聚焦模型+规则波模型;相位角分布范围调制聚焦模型;相同相位角组成波个数调制聚焦模型. 基于上述完全非线性数值波浪模型,采用不同的能量分配方式,在有限模拟长度和时间内得到了具有不同$H_{\max}/H_{s}$值的畸形波. 相似文献
995.
In this paper, the ethylene/oxygen/nitrogen premixed flame instabilities induced by incident and reflected shock wave were
investigated numerically. The effects of grid resolutions and chemical mechanisms on the flame bubble deformation process
are evaluated. In the computational frame, the 2D multi-component Navier–Stokes equations with second-order flux-difference
splitting scheme were used; the stiff chemical source term was integrated using an implicit ordinary differential equations
(ODEs) solver. The two ethylene/oxygen/nitrogen chemical mechanisms, namely 3-step reduced mechanism and 35-step elementary
skeletal mechanism, were used to examine the reliability of chemistry. On the other hand, the different grid sizes, Δx × Δy = 0.25 × 0.5mm and Δx × Δy = 0.15 × 0.2mm, were implemented to examine the accuracy of the grid resolution. The computational results were qualitatively
validated with experimental results of Thomas et al. (Combust Theory Model 5:573–594, 2001). Two chemical mechanisms and two
grid resolutions used in present study can qualitatively reproduce the ethylene spherical flame instability process generated
by an incident shock wave of Mach number 1.7. For the case of interaction between the flame and reflected shock waves, the
35-steps mechanism qualitatively predicts the physical process and is somewhat independent on the grid resolutions, while
the 3-steps mechanism fails to reproduce the instability of ethylene flame for the two selected grid resolutions. It is concluded
that the detailed chemical mechanism, which includes the chain elementary reactions of fuel combustion, describes the flame
instability induced by shock wave, in spite of the fact that the flame thickness (reaction zone) is represented by 1–2 grids
only.
相似文献
996.
The head-on collision of a planar shock wave with a dust-air suspension is studied numerically. In this study the suspension
is placed inside a conduit adjacent to its rigid end-wall. It is shown that as a result of this collision two different types
of transmitted shock waves are possible, depending on the strength of the incident shock wave and the dust loading ratio in
the suspension. One possibility is a partially dispersed shock wave, the other is a compression wave. The flow fields resulting
in these two options are investigated. It is shown that in both cases, at late times after the head-on reflection of the transmitted
shock wave from the conduit end-wall a negative flow (away from the end-wall) is evident. The observed flow behavior may suggest
a kind of dust particle lifting mechanism that could shed new light on the complex phenomenon of dust entrainment behind sliding
shock waves.
相似文献
997.
For mixed-type systems of conservation laws, rarefaction waves may contain states at the boundary of the elliptic region,
where two characteristic speeds coincide, and the Lax family of the wave changes. Such contiguous rarefaction waves form a
single fan with a continuous profile. Different pairs of families may appear in such rarefactions, giving rise to novel Riemann
solution structures. We study the structure of such rarefaction waves near regular and exceptional points of the elliptic
boundary and describe their effect on Riemann solutions. 相似文献
998.
ZHOU Qing Ping 《理论物理通讯》2008,49(2):477-478
We show that Wu-Yang theory of fully quantized four-wave mixing
can be generalized to the six-wave mixing and derive the analytical
solution of the coupled equations describing the quantum dynamics of
six-wave mixing. 相似文献
999.
GAO Xiu-Yun LIN Mai-Mai DUAN Wen-Shan 《理论物理通讯》2008,49(2):482-484
By deriving a Korteweg-de Vries (KdV) equation for particular
dusty plasma, we find the existing regions of solitary waves. The regions
of both rarefactive and compressive solitary waves have also been given in
this paper for a two-temperature ions and a hot adiabatic dusty fluid,
where the dust charges can vary. 相似文献
1000.
WANG Gang LIN Min QIAO Fang-Li HOU Yi-Jun 《理论物理通讯》2009,51(3):490-494
In this paper, we present a simple spring-block model for ocean internal waves based on the self-organized criticality (SOC). The oscillations of the water blocks in the model display power-law behavior with an exponent of -2 in the frequency domain, which is similar to the current and sea water temperature spectra in the actual ocean and the universal Garrett and Munk deep ocean internal wave model [Geophysical Fluid Dynamics 2 (1972) 225; J. Geophys. Res. 80 (1975) 291]. The influence of the ratio of the driving force to the spring coefficient to SOC behaviors in the model is also discussed. 相似文献