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In the meantime, which may well be a very long time solutions need to be deployed, services offered and real world problems solved.
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An asymptotic long time solution for debris paths is also derived.
We also show that the long time solution to sub-diffusive and sub-advective fluid flow through porous media is largely independent of the initial fluid profile.
The long-time solutions behavior of nonlinear equation (1) has been already studied in the literature.
The analytical solution for dual and single resistance and their long-time solutions are developed.
The solutions to the integral model for the burning rate were compared with data using analytical short-time and long-time solutions.
The first moment and the long-time solution of the response curve are used to estimate the parameters and thus avoiding the use of inaccurate higher moments.
Physiologically realistic simulations of computational islets of beta cells require the long-time solution of several thousands of coupled ordinary differential equations (ODEs), resulting from the combination of several ODEs in each cell and realistic numbers of several hundreds of cells in an islet.
This may not be the best long-time solution, especially not for population queries.
With some numerical damping introduced, the proposed method remains stable in large deformation and long time range solutions even when the trapezoidal rule fails.
Understanding how nature implements what it has perfected over such a long time, what solutions it has selected and those it has discarded, will surely lead to significant advances in Signal Processing Research.
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