Analysis of a viscous two-field gradient damage model. I. Existence and uniqueness

DOI10.4171/ZAA/1637zbMath1425.74407OpenAlexW2960444956WikidataQ127477986 ScholiaQ127477986MaRDI QIDQ2327737

Yanyan Li

Publication date: 15 October 2019

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1637

zbMATH Keywords

penalizationviscous damage evolution\(w^{1, p}\)-theory

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Brittle damage (74R05) Nonlinear evolution equations (47J35) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

A priorierror estimates for the space-time finite element approximation of a quasilinear gradient enhanced damage model ⋮ Vanishing‐viscosity solutions to a rate‐independent two‐field gradient damage model ⋮ How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework ⋮ A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system ⋮ Strong Stationarity for Optimal Control of a Nonsmooth Coupled System: Application to a Viscous Evolutionary Variational Inequality Coupled with an Elliptic PDE ⋮ Analysis of a viscous two-field gradient damage model. II: Penalization limit ⋮ A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System

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