Existence for coupled pseudomonotone-strongly monotone systems and application to a Cahn-Hilliard model with elasticity

DOI10.1016/j.na.2014.10.018zbMath1304.35383arXiv1404.5607OpenAlexW2964183106MaRDI QIDQ478312

Donat Wegner

Publication date: 3 December 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5607

zbMATH Keywords

Cahn-Hilliard equationpseudomonotone operatorselliptic-parabolic systemselliptic equation of second orderparabolic equation of fourth order

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

A new conservative finite difference scheme for 1D Cahn-Hilliard equation coupled with elasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sobolev-Morrey spaces associated with evolution equations
• A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
• Continuum theory of thermally induced phase transitions based on an order parameter
• Dynamic solid-solid transitions with phase characterized by an order parameter
• On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities
• On a model for phase separation in binary alloys driven by mechanical effects
• On a Cahn--Hilliard model for phase separation with elastic misfit
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage
• Strong solvability of 3-D Cahn-Hilliard system in elastic solids
• Resolvent estimates in W^−1,p related to strongly coupled‐linear parabolic systems with coupled nonsmooth capacities