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The specialized indirect representation and transformation of solution space from discrete (typical for this problem), to continuous (typical for DE-approaches) are proposed and examined.
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The numerical Laplace inversion is applied for back transformation of the solution in the actual time domain.
Concentrations from 0.5 wt % to 2 wt % and temperatures above 60 °C were conditions for the transformation of the solution to "flowing hydrogel".
By inverse transformation of quantum solutions (wave functions) identified in the transformed system, we also obtained the full wave functions for the corresponding superposition states in the original system [see Eq. (38) with Eqs. (39) and (40)].
The transformation of polymer solutions into nanofibers in the electrospinning process is affected by several parameters including the solution and processing condition [10].
In essence, the DT is a special gauge transformation of the solutions for (20) and (21).
Proper transformation of time solutions between the normal modes for a position and those for the next position of the moving mass is also considered.
The transformation of a yellow solution into dark brown solution was indicative of the formation of the PdQDs.
The key to the proof of Theorem 3.2 is a removable singularities theorem that implies that solutions of the conductivity equation in Ω D ¯ pull back by this singular transformation to solutions of the conductivity equation in the whole Ω.
We then develop a theoretical framework on the mechanisms responsible for the transformation of a polymer solution droplet made by electrospray into a solid morphology.
In this section we develop a procedure which could be used for the transformation of the exact solution Eq. (21) to the expression without recursive indexing.
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