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Instrumented nanoindentation and 3D mechanistic modeling of a shale at multiple scales
Anisotropy Creep FIB-SEM Heterogeneity Nanoindentation Shale
2015/7/1
Nanoindentation tests, spanning various length scales ranging from 200 nm to 5 lm deep, were performed on a sample of organic-rich Woodford shale in both the bedding plane normal and bedding plane par...
Consumer preference for seeds and seedlings of rare species impacts tree diversity at multiple scales
Plant–herbivore interactions Plant diversity
2013/11/13
Positive density-dependent seed and seedling
predation, where herbivores selectively eat seeds or seedlings of common species, is thought to play a major role in
creating and maintaining plant commu...
Inflow intrusions at multiple scales in a large temperate lake
Inflow intrusions multiple scales temperate lake
2010/4/17
Lake Como receives inflows of vastly varying scales. The majority of the lake’s water comes from the alpine inflows to the north, and much smaller inflows supply large amounts of pollutants in the sou...
An unified approach to meteorological modelling based on multiple-scales asymptotics
meteorological modelling multiple-scales asymptotics quasi-geostrophic theory
2008/3/18
In 2003, the author suggested a mathematical framework for the derivation of reduced meteorological models at a Mathematics conference (5th ICIAM, Sydney, Australia), (Klein, 2004). The framework cons...
Derivation of Separable Amplitude Equations by Multiple Scales Method
Multiple Scales Method Three Component 2D Nonlinear Klein-Gordon Equation Separable Amplitude NLS Equation Spectral Problem Separable Integrable Hamiltonian system
1997/12/22
The method of multiple scales is used to derive separable nonlinear Schrödinger equations as amplitude equation from three component 2D nonlinear Klein-Gordon Equation. We further discuss the int...
Multiple Scales Method for a Matrix KdV Equation
matrix non-linear Schrö dinger equation Matrix Korteweg-de Vries equation
1997/10/30
In this paper the method of multiple scales is used to derive an integrable matrix non-linear Schrödinger equation (MNLS) as an amplitude equation from the Matrix Korteweg-de Vries equation (MKdV...