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We demonstrate that some specific problems of Landau Zener transitions in a qubit coupled to an environment (problems designed as dissipative) can be matched onto the frame of the original problem without dissipation, providing an appropriate Lie algebra.
Classical tidal theory assumes a stationary, isothermal, atmosphere without dissipation.
In Section 4, we have derived the analytical solutions of Eq. (24) without dissipation effect.
We also obtain kink profile solitary wave solutions with and without dissipation effect.
The analyses have been carried out both with and without dissipation, using the Harmonic Balance Method.
For linear systems, exact solutions can be achieved without dissipation, and exact transmissive boundary condition treatments are trivial to implement.
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First results in the thermoelastic theory without energy dissipation were obtained by Green and Naghdi [2].
We first write down the mixed initial boundary value problem within context of micropolar bodies in thermoelasticity without energy dissipation.
Linear and nonlinear wave equations, with and without viscous dissipation, have been adopted as the test problems.
The numerical model was validated using shaking table experimental results on model frame structures with and without energy dissipation devices.
In [21] Ciarletta proposed a theory of micropolar thermoelasticity, which, because it is a theory without energy dissipation, allows propagation of thermal waves at a finite speed.
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