Coupled continuum equations - the dynamics of sandpile surfaces

... example of the use of these equations, a study of the dynamics of aeolian sand ripples [216]. 11.3 Case A: the Edwards–Wilkinson equation with flow The first model involves a pair of linear coupled equations, ... where the first of the equations describes the height h(x, t) of the sandpile surface at (x, t) measured from some mean h, and is precisely th...

Ngày tải lên: 01/11/2013, 08:20

... Descriptive statistics; p25, p50, p75 denote the 25th, 50th, 75th percentile, respectively. -3 .5 -3 -2 .5 -2 -1 .5 -1 -0 .5 0 0.5 1 200 5-0 9 200 6-0 9 200 7-0 9 200 8-0 9 200 9-0 9 Cumulative change in exposure (percentage ... is the cross-sectional average of the bank-specific variable α i of those banks for which there is an observation in month t....

Ngày tải lên: 16/02/2014, 06:20

... its impact on the operations and evolution of civil society at large. All of these dimensions arose in the panel dis- cussions, and all warrant re-examination in the context of the fundamentally ... approval.” 21 In the minds of many—including the vast majority of executives the major business scandals of recent years were primarily the result of greed. There...

Ngày tải lên: 18/02/2014, 00:20

... except for the small values in residue 2, which agrees with the expected flexibility of the N-terminal region of the protein. The difference of S 2 values in the presence and absence of solute ... in the slower amide exchange rates. Taking the results of the two sets of experiments together, and in view of the strong stabilizing effect the solute confers upo...

Ngày tải lên: 07/03/2014, 21:20

... composition of the copolymers (see Experimen- tal procedures) and SDS ⁄ PAGE analysis of the ef - ciency of the cross-linking reaction. In addition to the change in the dynamics of the filaments, ... follow the dynamics of cross-linked actin filaments and to examine the effect of HMM binding. The spin- labelled probe was 4-maleimido-2,2,6,6-tetramethyl- 1pip...

Ngày tải lên: 16/03/2014, 13:20

... far from the usual 8 0-2 0 rule. The rule states that the top twenty percent of the products account for 80 percent of the sales. In our case the top 20% of the products contribute to about half the ... Success of outgoing recommendations In previous sections we examined the data from the viewpoint of the receiver of the recommendation. Now we look from...

Ngày tải lên: 29/03/2014, 23:20

... of properly conducted tests may be validly compared. 6 120.0 100.0 80.0 60.0 40.0 20.0 0.0 J.C. Berg IIIIIIIIIII - - - - - Fragmentation - - Indentation - - - Am - ... the liquid, between the solid-liquid and the liquid-air interfaces, drawn in the plane perpendicular to the three-phase interline, as shown in Fig. 4....

Ngày tải lên: 26/04/2014, 15:36

... .(II.1.1) x 3 -axis u(ρ, θ +2π) w u(ρ, θ) Figure 8: The separation w for a multi-valued graph in (II.1.1). PLANAR DOMAINS 535 The main result of the next two sections is the following theorem (Γ 1 (∂) is the ... curvature. This def- inition of geodesic is needed when the curve intersects the boundary of the surface.) Below we will sometimes require one or more of the...

Ngày tải lên: 14/02/2014, 17:20

... CH 3 COOH, the suspension was digested for 2 h with amyloglucosidase. The glucose content of the supernatant was then deter- mined and used to assess the starch content of the sample. Measurement of ... (unit: C 6 h )1 Æg )1 FW): r CO 2 !Suc ¼ r NetPhotosynthesis Àr CO 2 !Starch Ratesof net photosynthesis (r NetPhotosynthesis ) were calcu- lated as the average rate of carb...

Ngày tải lên: 14/02/2014, 22:20