What question did this study set out to answer?

The study aims to establish a model for viscoelastoplastic two-phase flows using Cahn–Hilliard type equations.

May 3, 2026Open Access

On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows

FCFan ChengFreie Universität Berlin RLRobert LasarzikWeierstrass Institute for Applied Analysis and Stochastics MTMarita ThomasWeierstrass Institute for Applied Analysis and Stochastics

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.

Abstract

ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof. With the help of the dissipative solution, we explore the existence of generalized solutions both for a regularized system and a system, which is used in geoscientific applications.

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