A Cahn–Hilliard phase field model coupled to an Allen–Cahn model of viscoelasticity at large strains
DOI10.1088/1361-6544/ad0211zbMath1528.35185arXiv2301.08341OpenAlexW4388108439MaRDI QIDQ6058480
Elisabetta Rocca, Pierluigi Colli, Harald Garcke, A. Agosti
Publication date: 1 November 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.08341
existence of weak solutionsviscoelasticitylarge deformationsCahn-HilliardAllen-Cahngradient-stable finite element approximations
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Electromagnetic effects in solid mechanics (74F15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74)
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