| Abstract: |
| We are interested in the formation of morphologies as seen in the production of organic solar cells as it arise in ternary mixtures. These mixtures consists of two active components and a passive solvent, and we are interested in facilitating their separation in space. We construct a semi-discrete finite-volume scheme that approximates the weak solution of our coupled system of parabolic partial differential equations with nonlocal and nonlinear drift posed in three space dimensions.
We explore how initial conditions and model parameters affect the behavior of the solution, both with and without solvent evaporation through boundary conditions. Through numerical experiments we approximate the convergence rate of our scheme. Theoretical stability results are recovered numerically. |
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