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Finally, we verify the preservation of long time behavior through numerical simulations.
This system describes the long time behavior of the amplitudes of the oscillations.
In particular, we give new estimates for the long time behavior of the heat equation.
We investigate the long time behavior of the critical mass Patlak Keller Segel equation.
We study the influence of the advection coefficient −β on the long time behavior of the solutions.
My current work focuses on the long time behavior of these systems and their hydrodynamic limits.
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The long-time behavior agrees with expected analytic solutions.
Among the central aims was to develop ways to predict long-time behavior.
E. Gull, D. R. Reichman and A. J. Millis, Numerically exact long-time behavior of nonequilibrium quantum impurity models.
We study the long-time behavior of small solutions of the initial-value problem for a generalized Boussinesq equation.
We also study the long-time behavior of these solutions and prove a convergence to equilibrium with an exponential rate.
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