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In the absence of search frictions, our model reduces to a standard Ricardian model of trade.
Under certain conditions, the linearized model reduces to the log-mean-difference formulation.
When the shear effects are neglected, the model reduces to Winkler foundation model.
When M=1, the model reduces to Kachanov's approximation method [Int. J. Solids Struct. 23 (1987) 23].
When dislocation and disclination velocity vanish, the model reduces to deWit's elasto-static theory of crystal defects.
In the steady state the model reduces to a system of non-linear equations which must be solved by a search method.
Subjected to specific limitations, the thermokinetic model reduces to a purely kinetic model, a purely thermodynamic model and a model considering only grain-size-dependent solute drag.
The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero.
The new model reduces to the classical elasticity-based model when both the microstructure and surface energy effects are not considered.
If the solid and liquid solutions are regular solutions, the model reduces to the Thompson and Spaepen model with slight approximation.
In the particular case of zero self-propelling speed, the resulting model reduces to the phenomenological LandauLifschitzGilbert equations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com