A Bernstein type theorem on a Randers space by Souza M., Spruck J., Tenenblat K.

By Souza M., Spruck J., Tenenblat K.

We think of Finsler areas with a Randers metric F = α + β, at the 3-dimensional actual vector house, the place α is the Euclidean metric and β is a 1-form with norm b, zero ≤ b < 1. through the use of the thought of suggest curvature for immersions in Finsler areas, brought by means of Z. Shen, we receive the partial differential equation that characterizes the minimum surfaces that are graphs of capabilities. for every b, zero ≤ b < 1/, we end up that it's an elliptic equation of suggest curvature kind. Then the Bernstein variety theorem and different houses, similar to the nonexistence of remoted singularities, of the recommendations of this equation stick to from the speculation developped by means of L. Simon. For b ≥ 1/, the differential equation isn't really elliptic. additionally, for each b, 1/ < b < 1 we offer suggestions, which describe minimum cones, with an remoted singularity on the foundation.

Show description

Read or Download A Bernstein type theorem on a Randers space PDF

Best nonfiction_1 books

Crossing Platforms a Macintosh/Windows Phrasebook: A Dictionary for Strangers in a Strange Land

Like tourists in a international land, Mac clients operating in home windows or home windows clients engaged on a Mac frequently locate themselves in unexpected territory without guidebook. Crossing systems: A Macintosh/Windows Phrasebook, with info provided in a translation dictionary-like layout, deals clients a convenient method of translating abilities and information from one platform to the opposite.

Additional info for A Bernstein type theorem on a Randers space

Sample text

Conf. , Ed. J. Eaton. Cambridge Univ. Press, p p . 227-232. A. S. (1985): Full-scale dynamic testing of submarine pipeline spans. , paper No. 5005, 3:395-404. D. (1992): Fluctuating lift and its spanwise correlation on a circular cylinder in a smooth and in a turbulent flow: a critical review. Jour, of W i n d Engrg. and Indust. Aerodynamics, 40:179-198. Roshko, A. (1961): Experiments on the flow past a circular cylinder at very high Reynolds number. J. , 10:345-356. Schewe, G. (1983): On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers.

Division, 107:EM3:565-588. Also see the closure of t h e paper. Journal of Engineering Mechanics, ASCE, 109:1153-1156, 1983. R. and Dodge, F . T . (1970): An engineering approach to t u b e flowinduced vibrations. Proc. Conf. on Flow-Induced Vibrations in Reactor System Components, Argonne National Laboratory, pp. 205-225. H. (1966): T h e mechanics of the formation region of vortices behind bluff bodies. J. , 25:401-413. H. (1978): T h e wakes of cylindrical bluff bodies at low Reynolds number.

Novak and Tanaka (1977). T h e subject has been most recently studied by Szepessy and Bearman (1992). These authors studied the effect of the aspect ratio (namely the cylinder length-to-diameter ratio) on vortex shedding by using moveable end plates. They found t h a t the vortex-induced lift showed a m a x i m u m for an aspect ratio of 1, where the lift could be almost twice the value for very large aspect ratios. This increase of the lift amplitude was found to be accompanied by enhanced spanwise correlation of the flow.

Download PDF sample

Rated 4.89 of 5 – based on 18 votes

Related posts