Proposes a numerical scheme for phase separation in viscoelastic materials, indicating promising results for solution uniqueness.
In this article, we study the phase separation equation coupled with viscoelasticity in two-space dimension. Pawłow and Zaja̧czkowski proposed the system and gave some mathematical analysis such as the existence of a solution in the series of results. Our purpose is to propose a decoupled finite difference scheme for the model and to show the unique existence of the solution for the scheme and the error estimate. Moreover, several numerical simulations are demonstrated.
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Anai et al. (2026) studied this question.
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