Burnett-order constitutive relations, second moment anisotropy and co-existing states in sheared dense gas–solid suspensions

2020 ◽  
Vol 887 ◽  
Author(s):  
Saikat Saha ◽  
Meheboob Alam
Keyword(s):  
Constitutive Relations ◽  
Dense Gas ◽  
Second Moment ◽  
Image Position ◽  
Solid Suspensions

scholarly journals Simplices in the Euclidean Ball

2012 ◽  
Vol 55 (3) ◽  
pp. 498-508 ◽  
Author(s):  
Matthieu Fradelizi ◽  
Grigoris Paouris ◽  
Carsten Schütt
Keyword(s):  
Convex Body ◽  
Euclidean Ball ◽  
Second Moment ◽  
Image Position

AbstractWe establish some inequalities for the second momentof a convex body K under various assumptions on the position of K.

A uniform limit theorem and exponential limit law for critical multitype age-dependent branching processes

1978 ◽  
Vol 15 (2) ◽  
pp. 235-242 ◽  
Author(s):  
Martin I. Goldstein
Keyword(s):  
Limit Theorem ◽  
Generating Function ◽  
Branching Process ◽  
Branching Processes ◽  
Uniform Limit ◽  
Second Moment ◽  
Age Dependent ◽  
The Mean ◽  
Image Position ◽  
The Right

Let Z(t) ··· (Z1(t), …, Zk (t)) be an indecomposable critical k-type age-dependent branching process with generating function F(s, t). Denote the right and left eigenvalues of the mean matrix M by u and v respectively and suppose μ is the vector of mean lifetimes, i.e. Mu = u, vM = v.It is shown that, under second moment assumptions, uniformly for s ∈ ([0, 1]k of the form s = 1 – cu, c a constant. Here vμ is the componentwise product of the vectors and Q[u] is a constant.This result is then used to give a new proof of the exponential limit law.

A uniform limit theorem and exponential limit law for critical multitype age-dependent branching processes

1978 ◽  
Vol 15 (02) ◽  
pp. 235-242
Author(s):  
Martin I. Goldstein
Keyword(s):  
Limit Theorem ◽  
Generating Function ◽  
Branching Process ◽  
Branching Processes ◽  
Uniform Limit ◽  
Second Moment ◽  
Age Dependent ◽  
The Mean ◽  
Image Position ◽  
The Right

Let Z(t) ··· (Z 1(t), …, Zk (t)) be an indecomposable critical k-type age-dependent branching process with generating function F(s, t). Denote the right and left eigenvalues of the mean matrix M by u and v respectively and suppose μ is the vector of mean lifetimes, i.e. Mu = u, vM = v. It is shown that, under second moment assumptions, uniformly for s ∈ ([0, 1] k of the form s = 1 – cu, c a constant. Here vμ is the componentwise product of the vectors and Q[u] is a constant. This result is then used to give a new proof of the exponential limit law.

scholarly journals Dense-gas effects on compressible boundary-layer stability

2020 ◽  
Vol 893 ◽  
Author(s):  
X. Gloerfelt ◽  
J.-C. Robinet ◽  
L. Sciacovelli ◽  
P. Cinnella ◽  
F. Grasso
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Stability ◽  
Compressible Boundary Layer ◽  
Dense Gas ◽  
Image Position

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