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October 20, 2025Open Access

Analysis of a Cahn--Hilliard model for viscoelastoplastic two-phase flows

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Authors

CFCheng FanRLRobert LasarzikMTMarita Thomas

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Overview

This analysis finds weak solutions for viscoelastoplastic two-phase flows, indicating the role of internal stress.

Key Points

  • Existence of weak solutions for the Cahn-Hilliard model derived from stress-diffusion is established.
  • The study focuses on the evolution of internal stress and its nonlinear behavior in two-phase flows.
  • Dissipative solutions provide a framework to ensure existence for the non-regularized model.
  • Regularization techniques enhance well-posedness in the study of viscoelastoplastic flows.

Cite This Study

Fan et al. (2025) studied this question.

synapsesocial.com/papers/68f5fcd68d54a28a75cf1eaehttps://doi.org/10.48550/arxiv.2509.25508
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Also Consider

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  1. 1On Cahn–Hilliard Type Viscoelastoplastic Two-Phase Flows2026
  2. 2On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows2026
  3. 3Local well-posedness of the Cahn–Hilliard–Biot System2026
  4. 4Local well-posedness of the Cahn–Hilliard–Biot System2026
  5. 5Existence of weak solutions to a Cahn–Hilliard–Biot system2024 · 3 citations