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41.
Circularly polarized luminescent(CPL)materials with intense emission and high luminescence dissymmetry factor(glum)are highly de-sirable for their promising app... 相似文献
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This contribution covers the topics presented by the authors at the “Fundamental Problems of Turbulence, 50 Years after the Marseille Conference 1961” meeting that took place in Marseille in 2011. It focuses on some of the mathematical approaches to fluid dynamics and turbulence. This contribution does not pretend to cover or answer, as the reader may discover, the fundamental questions in turbulence, however, it aims toward presenting some of the most recent advances in attacking these questions using rigorous mathematical tools. Moreover, we consider that the proofs of the mathematical statements (concerning, for instance, finite time regularity, weak solutions and vanishing viscosity) may contain information as relevant, to the understanding of the underlying problem, as the statements themselves. 相似文献
44.
Chongsheng Cao Darryl D. Holm Edriss S. Titi 《Journal of Dynamics and Differential Equations》2004,16(1):167-178
In this paper we consider a class of one-dimensional nonlinear shallow water wave models that support weak solutions. We construct new traveling wave solutions for these models. Moreover, we show that these new traveling wave solutions are stable. 相似文献
45.
Chongsheng Cao Jinkai Li Edriss S. Titi 《Archive for Rational Mechanics and Analysis》2014,214(1):35-76
In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with H 2 initial data. 相似文献
46.
TitiObilade 《应用数学学报(英文版)》2004,20(4):647-654
In this paper we consider some related negative hypergeometric distributions arising from the problem of sampling without replacement from an urn containing balls of different colours and in different proportions but stopping only after some specific number of balls of different colours have been obtained. With the aid of some simple recurrence relations and identities we obtain in the case of two colours the moments for the maximum negative hypergeometric distribution, the minimum negative hypergeometric distribution,the likelihood ratio negative hypergeometric distribution and consequently the likelihood proportional negative hypergeometric distributiuon. To the extent that the sampling scheme is applicable to modelling data as illustrated with a biological example and in fact many situations of estimating Bernoulli parameters for binary traits within a finite population, these are important first-step results. 相似文献
47.
We establish global existence and uniqueness theorems for the two-dimensional non-diffusive Boussinesq system with anisotropic viscosity acting only in the horizontal direction, which arises in ocean dynamics models. Global well-posedness for this system was proven by Danchin and Paicu; however, an additional smoothness assumption on the initial density was needed to prove uniqueness. They stated that it is not clear whether uniqueness holds without this additional assumption. The present work resolves this question and we establish uniqueness without this additional assumption. Furthermore, the proof provided here is more elementary; we use only tools available in the standard theory of Sobolev spaces, and without resorting to para-product calculus. We use a new approach by defining an auxiliary “stream-function” associated with the density, analogous to the stream-function associated with the vorticity in 2D incompressible Euler equations, then we adapt some of the ideas of Yudovich for proving uniqueness for 2D Euler equations. 相似文献
48.
We present a new continuous data assimilation algorithm based on ideas that have been developed for designing finite-dimensional feedback controls for dissipative dynamical systems, in particular, in the context of the incompressible two-dimensional Navier–Stokes equations. These ideas are motivated by the fact that dissipative dynamical systems possess finite numbers of determining parameters (degrees of freedom) such as modes, nodes and local spatial averages which govern their long-term behavior. Therefore, our algorithm allows the use of any type of measurement data for which a general type of approximation interpolation operator exists. Under the assumption that the observational measurements are free of noise, our main result provides conditions, on the finite-dimensional spatial resolution of the collected data, sufficient to guarantee that the approximating solution, obtained by our algorithm from the measurement data, converges to the unknown reference solution over time. Our algorithm is also applicable in the context of signal synchronization in which one can recover, asymptotically in time, the solution (signal) of the underlying dissipative system that is corresponding to a continuously transmitted partial data. 相似文献
49.
In this paper, we consider the initial–boundary value problem of the 3D primitive equations for oceanic and atmospheric dynamics with only horizontal diffusion in the temperature equation. Global well-posedness of strong solutions are established with H2 initial data. 相似文献
50.
Recently, the Navier–Stokes–Voight (NSV) model of viscoelastic incompressible fluid has been proposed as a regularization
of the 3D Navier–Stokes equations for the purpose of direct numerical simulations. In this work, we prove that the global
attractor of the 3D NSV equations, driven by an analytic forcing, consists of analytic functions. A consequence of this result
is that the spectrum of the solutions of the 3D NSV system, lying on the global attractor, have exponentially decaying tail,
despite the fact that the equations behave like a damped hyperbolic system, rather than the parabolic one. This result provides
additional evidence that the 3D NSV with the small regularization parameter enjoys similar statistical properties as the 3D
Navier–Stokes equations. Finally, we calculate a lower bound for the exponential decaying scale—the scale at which the spectrum
of the solution start to decay exponentially, and establish a similar bound for the steady state solutions of the 3D NSV and
3D Navier–Stokes equations. Our estimate coincides with the known bounds for the smallest length scale of the solutions of
the 3D Navier–Stokes equations, established earlier by Doering and Titi.
相似文献