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Instead of using a discontinuous initial condition in the gas-kinetic BGK NS method Xu [K.
This value is used as the initial condition in the solution to the ODE for (R_{mathrm{rel}}(t)).
The geometrical deformation induced by blast load is treated as the initial condition in the fire analysis.
We now solve the first Eq. (25) for partial saturation with an initial condition in the wetting-fluid pressure field, without gravity effects and considering the capillary pressure.
All but the low resolution case are visually indistinguishable from the initial condition in the bottom-left panel, showing (rho-r) with a linear scale.
The stability analysis of the resulting closed-loop system leads to semiglobal Lyapunov asymptotic stability of the robust output synchronization achieved for some appointed initial condition in the state space and for all possible values of the uncertain parameter vector.
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The plant condition at 200.0 s as the base case and those at 625.0 and 1950.0 s as test cases after the initiation of LBLOCA were applied as initial conditions in the experiments, respectively.
Moreover, it seemed to depend on a very careful tuning of the initial conditions in the expanding universe.
The magnetic configuration of the initial conditions in the overall simulation system is shown in Fig. 1 b.
That is they hold generally only for a set of initial conditions in the system's state space.
However, all the previous works avoid the term of fractional initial conditions in the space-time telegraph equations.
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