Averaging of Random Flows of Linear and Nonlinear Maps

1995 ◽

Vol 117 (3) ◽

pp. 491-512 ◽

Cited By ~ 10

Author(s):

Simon P. Eveson ◽

Roger D. Nussbaum

Keyword(s):

Linear Operators ◽

Vector Spaces ◽

Ergodic Theorems ◽

Convergence Properties ◽

Nonlinear Integral Equations ◽

Ordered Vector Spaces ◽

Partially Ordered Vector Spaces ◽

Linear And Nonlinear ◽

Nonlinear Maps ◽

Hopf Theorem

This paper may be regarded as a sequel to our earlier paper [19], where we give an elementary and self-contained proof of a very general form of the Hopf theorem on order-preserving linear operators in partially ordered vector spaces (reproduced here as Theorem 1·1).Versions of this theorem and related ideas have been used by various authors to study both linear and nonlinear integral equations (Thompson [41], Bushell [9, 11], Potter [38, 39], Eveson [16, 17], Bushell and Okrasiriski [12, 13]); the convergence properties of nonlinear maps (Nussbaum [32, 33]); so-called DAD theorems (Borwein, Lewis and Nussbaum [8]) and in the proof of weak ergodic theorems (Fujimoto and Krause [20], Nussbaum [34]).

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Moderators of linear and nonlinear associations between religiosity, xenophobia, and tolerance toward immigrants in italy.

Psychology of Religion and Spirituality ◽

10.1037/rel0000223 ◽

2019 ◽

Vol 11 (4) ◽

pp. 399-407 ◽

Cited By ~ 4

Author(s):

Giovanni Piumatti ◽

Silvia Russo

Keyword(s):

Nonlinear Associations ◽

Linear And Nonlinear

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THE EXISTENCE AND UNIQUENESS THEOREMS OF THE LINEAR AND NONLINEAR RIEMANN–HILBERT PROBLEMS FOR THE GENERALIZED HOLOMORPHIC VECTOR OF THE SECOND KIND

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30392-8 ◽

1990 ◽

Vol 10 (2) ◽

pp. 185-199 ◽

Cited By ~ 9

Author(s):

Liede Huang

Keyword(s):

Existence And Uniqueness ◽

Uniqueness Theorems ◽

Existence And Uniqueness Theorems ◽

Linear And Nonlinear

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The Eulerian-Lagrangian transformation in two-dimensional random flows

International Journal of Multiphase Flow ◽

10.1016/s0301-9322(97)88386-3 ◽

1996 ◽

Vol 22 ◽

pp. 124

Author(s):

J Hesthaven

Keyword(s):

Two Dimensional ◽

Random Flows

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Linear and Nonlinear Optical Properties of Natural Dyes Freestanding Films and Application in Optical Limiting

10.32792/utq/utjsci/vol7/2/30 ◽

2020 ◽

pp. 139-143

Keyword(s):

Absorption Coefficient ◽

Water Solution ◽

Optical Limiting ◽

Refraction Index ◽

Laser Wavelength ◽

Solid State Laser ◽

Natural Dyes ◽

Linear And Nonlinear ◽

532 Nm ◽

Absorbance Spectra

Natural dyes were followed and prepared from a pomegranate, purple carrot, and eggplant peel. The absorbance spectra was measured in the wavelength range 300-800 nm. The linear properties measurements of the prepared natural dye freestanding films were determined include absorption coefficient (α0), extinction coefficient (κ), and linear refraction index (n). The nonlinear refractive index n2 and nonlinear absorption coefficient β2 of the natural dyes in the water solution were measured by the optical z-scan technique under a pumped solid state laser at a laser wavelength of 532 nm. The results indicated that the pomegranate dye can be promising candidates for optical limiting applications with significantly low optical limiting of 3.5 mW.

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Rheological characterization of tack and viscoelasticity of compositions of crepe coating used in the Yankee dryer

TAPPI Journal ◽

10.32964/tj18.11.641 ◽

2019 ◽

Vol 18 (11) ◽

pp. 641-649

Author(s):

JOSHUA OMAMBALA ◽

CARL MCINTYRE

Keyword(s):

Normal Force ◽

Weight Ratio ◽

Good Combination ◽

Rheological Characterization ◽

Nonlinear Viscoelastic ◽

Coating Composition ◽

Linear And Nonlinear ◽

Work Done ◽

Tissue Production

The vast majority of tissue production uses creping to achieve the required set of properties on the base sheet. The Yankee coating helps to develop the desired crepe that in turn determines properties such as bulk and softness. The adhesion of the sheet to the Yankee surface is a very important characteristic to consider in achieving the desired crepe. The coating mix usually consists of the adhesive, modifier, and release. A good combination of these components is essential to achieving the desired properties of the tissue or towel, which often are determined by trials on the machine that can be time consuming and lead to costly rejects. In this paper, five compositions of an industrial Yankee coating adhesive, modifier, and release were examined rheologically. The weight ratio of the adhesive was kept constant at 30% in all five compositions and the modifier and release ratios were varied. The normal force and work done by the different compositions have been shown at various temperatures simulating that of the Yankee surface, and the oscillatory test was carried out to explain the linear and nonlinear viscoelastic characteristic of the optimal coating composition.

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