共查询到20条相似文献,搜索用时 15 毫秒
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Keith Stewartson 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1961,12(3):261-271
Zusammenfassung Es wird die stationäre Bewegung eines vollkommen leitenden reibungslosen Medizums um einen schlanken Körper in einem schräggerichteten Magnetfeld behandelt. Es wird hervorgehoben, dass im allgemeinen eine der Grenzbedingungen zur Folge hat, dass die Störungen durch den Körper nicht klein sind. — In einem speziellen Falle, der von grossem Interesse sein dürfte, gibt es keine «prima facie» Einwände gegen die Annahme vom Vorhandensein kleiner Störungen und Lösungen können gefunden werden. Diese enthalten eine allgemeine Konstante ähnlich derjenigen die in der konventionellen Theorie der dünnen Körper (ohne Magnetfeld) vorkommt und die in analoger Weise eliminiert werden kann — Zwei spezielle Fälle werden diskutiert, von denen der eine von Bedeutung sein könntes für die Theorie der Bewegung in parallelen Feldern. 相似文献
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Keith Stewartson 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1962,13(3):242-255
Zusammenfassung Die Strömung einer elektrisch leitenden, reibungsfreien Flüssigkeit um einen dünnen Körper wird untersucht. Die Strömung in grosser Distanz soll gleichförmig parallel sein. Ferner soll ein homogenes Magnetfeld normal zur Parallelströmung vorhanden sein. Das allgemeine Problem wird formuliert, und Lösungen werden angegeben für grosse und kleine Leitfähigkeit sowie für starke und schwache Magnetfelder.
Part I see ZAMP12, 261 (1961). 相似文献
Part I see ZAMP12, 261 (1961). 相似文献
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《Applied mathematics and computation》1986,18(3):223-237
A finite difference technique for the simulation of the motion of a mixture of two viscous incompressible fluids in a closed basin is presented. The mathematical model which has been discretized is the closed system deduced from the general equations, governing the motion of the mixture. The numerical scheme is based on the marker and cell method [4] extended to consider the molecular diffusion process. Computational examples are described and discussed at the end of the paper. 相似文献
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Yu. Sokolovski 《Journal of Mathematical Sciences》1990,49(5):1212-1217
The solvability of a certain two-dimensional boundary-value problem for the system of the Navier-Stokes equations, describing the steady (partially common) motion of two heavy viscous incompressible capillary fluids with free noncompact boundaries, is proved.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 163, pp. 146–153, 1987. 相似文献
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I. V. Denisova 《Acta Appl Math》1994,37(1-2):31-40
A local existence theorem for the problem of unsteady motion of a drop in a viscous incompressible capillary fluid is proved in Sobolev spaces. A linearized problem with known closed interface is also studied in Holder spaces of functions. 相似文献
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This work is concerned with the existence and uniqueness of a strong Markov process that has continuous sample paths and the following additional properties:
- (i) The state space is an infinite two-dimensional wedge, and the process behaves in the interior of the wedge like an ordinary Brownian motion.
- (ii) The process reflects instantaneously at the boundary of the wedge, the angle of reflection being constant along each side.
- (iii) The amount of time that the process spends at the comer of the wedge is zero (i.e., the set of times for which the process is at the comer has Lebesgue measure zero).
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Marcelo M. Santos 《Bulletin of the Brazilian Mathematical Society》2016,47(2):745-752
We give an overview on the solution of the stationary Navier-Stokes equations for non newtonian incompressible fluids established by G. Dias and M.M. Santos (Steady flow for shear thickening fluids with arbitrary fluxes, J. Differential Equations 252 (2012), no. 6, 3873-3898), propose a definition for domains with unbounded curved channels which encompasses domains with an unbounded boundary, domains with nozzles, and domains with a boundary being a punctured surface, and argue on the existence of steady flowfor incompressible fluids with arbitrary fluxes in such domains. 相似文献
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We consider the global wellposedness of the inhomogeneous incompressible heat-conducting viscous fluids in three dimension space. We generalize the result of Fujita & Kato for Navier–Stokes to the heat-conducting inhomogeneous incompressible viscous fluids. The key point is that we get the global wellposedness under the assumption that the initial density has positive lower and upper bound and the initial temperature can be arbitrarily large. 相似文献
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Large-eddy-simulation of 3-dimensional Rayleigh-Taylor instability in incompressible fluids 总被引:1,自引:0,他引:1
The 3-dimensional incompressible Rayleigh-Taylor instability is numerically studied through the large-eddy-simulation ( LES)
approach based on the passive scalar transport model. Both the instantaneous velocity and the passive scalar fields excited
by sinusoidal perturbation and random perturbation are simulated. A full treatment of the whole evolution process of the instability
is addressed. To verify the reliability of the LES code, the averaged turbulent energy as well as the flux of passive scalar
are calculated at both the resolved scale and the subgrid scale. Our results show good agreement with the experimental and
other numerical work. The LES method has proved to be an effective approach to the Rayleigh-Taylor instability. 相似文献
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R. S. Jones O. D. J. Thomas 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1989,40(3):425-439
Summary The slow coextrusion of two non-Newtonian fluids through a rectangular channel is considered. The shape of the interface and the secondary flows are investigated and their dependence on the fluid properties determined. 相似文献
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In this paper we are concerned with the initial boundary value problem for the micropolar fluid system in nonsmooth domains with mixed boundary conditions. The considered boundary conditions are of two types: Navier’s slip conditions on solid surfaces and Neumann-type boundary conditions on free surfaces. The Dirichlet boundary condition for the microrotation of the fluid is commonly used in practice. However, the well-posedness of problems with different types of boundary conditions for microrotation are completely unexplored. The present paper is devoted to the proof of the existence, regularity and uniqueness of the solution in distribution spaces. 相似文献
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Song Jiang 《Mathematical Methods in the Applied Sciences》1994,17(12):933-942
We investigate the effect of temperature dependence of the viscosity on the stability of the adiabatic shearing flows of an incompressible Newtonian viscous fluid between two parallel plates. When the viscosity strongly decreases with temperature, the shearing flow caused by a steady motion of the upper plate (steady shearing) becomes unstable, while the shearing flow caused by a time-dependent body force is found to be stable. 相似文献