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991.
992.
Lin Juan Wang Chuanrong Yan Kunmei 《Mathematical Methods in the Applied Sciences》2010,33(14):1762-1770
Let the elastic domain be a disk, and its boundary the unit circle. By dint of the stability of Cauchy‐type integral with respect to the perturbation of integral curve, this paper discusses the stability of the complex stress functions to the second fundamental problem in plane elasticity when smooth perturbation happens for the boundary curve. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
993.
A numerical study of solidification of gallium in a closed cavity is presented and the influence of natural convection on phase change is investigated. The mathematical formulation is based on the enthalpy-porosity method, while the equations are discretized on a fixed grid by means of a finite volume technique. Advancing in time is obtained using the SIMPLE algorithm, while the solution of the elliptic equation for pressure correction is obtained by means of a preconditioned BI-CGStab method. As a test case a square cavity with Ra ranging from 4.68 × 103 to 9.36 × 105 is adopted. Results will be presented in terms of streamlines, isotherms, solid-liquid interface position and Nu and compared, when possible with available data. 相似文献
994.
This paper contains some results about the theory of stochastic L2-Integration with a general time-region. The starting point of our theory is not a family of σ-algebras but, more generally, a family of projection operators in the Hilbert space of all square integrable random functions. To do this we use some Hilbert space analysis as well as the methods of Metivier and Pellaumail. 相似文献
995.
A study of the nucleation kinetics for a cooling crystallisation of paracetamol–ethanol solutions in a batch reactor is described in this paper. Metastable zone width (MSZW) experiments were conducted in order to estimate the nucleation kinetics of the system. Measured MSZWs can be affected by numerous process parameters, such as cooling rate, concentration, agitation rate, and working volume. Two theoretical approaches were employed to estimate the nucleation kinetics, the classical mass based approach of Nývlt, and a more recent approach by Kubota, which also considers number density. Both approaches were found to produce similar estimates for the nucleation rates of the paracetamol–ethanol solutions as a function of supersaturation for an assumed nucleus size of 10 μm. The theory of Kubota was found to predict satisfactory estimates for the induction time of the nucleation process from MSZW data. The induction time was observed to be independent of the solution temperature as suggested by Kubota’s theory. This is a novel finding and serves to validate the induction time theory of Kubota. In this investigation, MSZWs were observed to decrease with increased levels of agitation and found to be independent of working volume. 相似文献
996.
997.
Stefan Langer 《国际流体数值方法杂志》2012,69(2):332-352
We derive and investigate point implicit Runge–Kutta methods to significantly improve the convergence rate to approximate steady‐state solutions of inviscid flows. It turns out that the point implicit Runge–Kutta can be interpreted as a preconditioned explicit Runge–Kutta method, where the preconditioner arises naturally as local derivative of the residual function. Moreover, many preconditioners suggested in the literature so far are identified as special case of our general ansatz. Conditions will be formulated such that explicit Runge–Kutta methods with local time stepping are equivalent to point implicit methods. In numerical examples, we will demonstrate the improved convergence rates. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
998.
Weibin Liu Yingtang Zhang Wen Guan William Kinsman Xinqiang Yuan Ziyu Chen 《Physica B: Condensed Matter》2012,407(17):3405-3407
The magnetic properties of the perovskite form of LaMnO3 have been shown strong interest in recent years due to its high potential for use in magnetic devices. In this paper, the magnetic properties of a 30% terbium-doped LaMnO3 (LMTO) perovskite manganite synthesized by a conventional solid-state reaction were investigated. Data on these properties was recorded periodically via SQUID and VSM to reveal it to be best described magnetically as a spin glass system. Thus, the time effect must be taken into consideration in instantaneously determining this material’s spin glass state as well as the overall magnetic properties in the absence of a magnetic field. The results of this paper point to a more in-depth understanding of the change in magnetic properties associated with doped LaMnO3. 相似文献
999.
1000.
The dynamics of a point-like relativistic particle with respect of the proper time is formulated on the hyperboloid p
2
0–p
2=M
2
c
2. The Hamilton-Jacobi equations on the hyperboloid are derived for the particles with mass (M
2=m
2, m>0), for the particles with zero-mass (M=0, m>0), and for the neutrino. It is shown, in a certain factorization of the momentum, the model can be identified with Nambu's three-dimensional phase space formalism. A first quantized version of the model is formulated according to a canonical scheme of quantization (Schrödinger quantization scheme). 相似文献