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51.
N. V. Chemetov F. Cipriano S. Gavrilyuk 《Mathematical Methods in the Applied Sciences》2010,33(6):687-703
We deduce a shallow water model, describ‐ ing the motion of the fluid in a lake, assuming inflow–outflow effects across the bottom. This model arises from the asymptotic analysis of the 3D dimensional Navier–Stokes equations. We prove the global in time existence result for this model in a bounded domain taking the nonlinear slip/friction boundary conditions to describe the inflows and outflows of the porous coast and the rivers. The solvability is shown in the class of solutions with Lp‐bounded vorticity for any given p∈(1,∞]. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
52.
53.
Ivan P. Gavrilyuk Wolfgang Hackbusch Boris N. Khoromskij. 《Mathematics of Computation》2004,73(247):1297-1324
In previous papers the arithmetic of hierarchical matrices has been described, which allows us to compute the inverse, for instance, of finite element stiffness matrices discretising an elliptic operator The required computing time is up to logarithmic factors linear in the dimension of the matrix. In particular, this technique can be used for the computation of the discrete analogue of a resolvent
In the present paper, we consider various operator functions, the operator exponential negative fractional powers , the cosine operator function and, finally, the solution operator of the Lyapunov equation. Using the Dunford-Cauchy representation, we get integrals which can be discretised by a quadrature formula which involves the resolvents mentioned above. We give error estimates which are partly exponentially, partly polynomially decreasing.
54.
55.
S. V. Karpov I. L. Isaev A. P. Gavrilyuk V. S. Gerasimov A. S. Grachev 《Colloid Journal》2009,71(3):329-339
Reasons for the appearance of defects of various types in crystalline colloidal structures formed during the self-organization of the ensembles of spherical nanoparticles are analyzed using lyosols of metal nanoparticles stabilized with polymers as examples. Quantitative characteristic of the degree of imperfection of colloidal crystals is proposed and the procedures for the minimization of the degree of imperfection are discussed. Order-disorder phase transitions of colloidal crystals are studied. 相似文献
56.
57.
V. L. Makarov I. P. Gavrilyuk N. A. Rossokhataya 《Journal of Mathematical Sciences》1994,72(2):2982-2991
We consider the Dirichlet problem and the mixed boundary-value problem for a nonlinear integro-differential equation of a parabolic type, which provides a mathematical model of the various modes in a photon-recycling semiconductor diode. The existence of the mixed derivative 2u/tx is proved for the solution of these problems. Method-of-lines schemes are constructed. An O(h) rate of convergence bound is established for the equation with nonlinear integral and differential components and an O(h2) bound for the equation with a nonlinear integral part.Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 74, pp. 21–31, 1992; 相似文献
58.
59.
V. I. Boldyrev A. S. Veksler A. A. Gavrilyuk S. M. Zubritskii A. L. Petrov M. V. Pinegin 《Russian Physics Journal》1999,42(9):818-821
The effect of thermomagnetic treatment temperature on the speed of magnetoelastic vibrations propagating in aFe
81.5
B
13.5
Si
3
C
2 metal alloy is investigated. A minimum is found in the plot of the dependence of the speed of magnetoelastic vibrations on
the thermomagnetic treatment temperature. No minimum is observed in this dependence for amorphous metal alloys treated without
magnetic field. It is found that the dependences of the speed of magnetoelastic vibrations on the external magnetic field
differ for samples treated differently. The results obtained are explained based on concepts of reorganization of the domain
structure of the samples under study.
Irkutsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 46–49, September, 1999. 相似文献
60.
V. V. Runov Yu. P. Chernenkov M. K. Runova V. G. Gavrilyuk N. I. Glavatska A. G. Goukasov V. V. Koledov V. G. Shavrov V. V. Khovaĭlo 《Journal of Experimental and Theoretical Physics》2006,102(1):102-113
The mesoscopic structures of the Heusler alloys Ni49.1Mn29.4Ga21.5 and Ni2MnGa are studied by small-angle polarized neutron scattering in the temperature range 15 < T < 400 K. The characteristic temperatures of phase transformations (ferromagnetic, martensitic, and premartensitic transformations) and the characteristic sizes of mesoscopic inhomogeneities in them have been determined. Differences in the spin dynamics of these phases and magnetic-nuclear interference upon neutron scattering have been revealed. The evolutions of the mesoscopic structures in the nonstoichiometric and stoichiometric alloys are found to be substantially different. 相似文献