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Accurate analytical solutions for thermal-acoustic radiation from a suspended carbon nanotube (CNT) thinfilm is obtained for near- and far-fields by constructing a coupled thermal mechanical CNT model and solving for the thermally induced acoustic response.
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Finally, an integrable coupling system is obtained by constructing a high-dimension loop algebra.
By constructing an explicit transformation, which maps VCNLS to the classical coupled nonlinear Schrödinger equations (CNLS), we obtain Bright Dark and Bright Bright solitons for VCNLS.
By constructing an appropriate Lyapunov function, a sufficient condition ensuring the ISS of this coupled Lurie system is established.
By constructing an appropriate Lyapunov function, a sufficient condition ensuring input-to-state stability of this coupled Lurie system is established.
We construct a coupling between them as follows.
A linear estimator of Luenberger-type is developed and by properly constructing a new Lyapunov Krasovskii functional coupled with the integral inequality, the global exponential stability conditions of the error system are derived.
By constructing thermal coupling channel for electronically independent levels, the restriction for narrow energy spacing could be broken by applying thermal coupling mechanisms unbound to Boltzmann population distribution rule.
Then the coordinated development among four effects is analyzed by constructing coupling coordination degree model.
A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method.
The computational framework is constructed by coupling a hygro-thermo-chemical (HTC) theory and a comprehensive mesoscale discrete model with formulated aging functions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com