On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows

Key Points

• The study aims to establish a model for viscoelastoplastic two-phase flows using Cahn–Hilliard type equations.
• Presents a modeling framework for viscoelastoplastic flows.
• Defines a dissipative solution to explore generalized solutions.
• Examines both a regularized system and a geoscientific application system.
• Demonstrates the existence of generalized solutions for the proposed models.
• Establishes the framework for dissipative solutions in two-phase flow contexts.
• Highlights potential applications in geoscientific fields.