Analysis of a quasi-variational contact problem arising in thermoelasticity

DOI10.1016/j.na.2021.112728OpenAlexW3046297190MaRDI QIDQ2074913

Amal Alphonse, Carlos N. Rautenberg, José-Francisco Rodrigues

Publication date: 11 February 2022

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/2008.00890

zbMATH Keywords

free boundary problemuniqueness resultobstacleelliptic-parabolic systemquasi-variational inequalityexistence resultregularized problemthermoforming process

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Contact in solid mechanics (74M15) Linear elasticity with initial stresses (74B10) Thermodynamics in solid mechanics (74A15) Membranes (74K15) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Optimal control and directional differentiability for elliptic quasi-variational inequalities ⋮ On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities ⋮ Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems

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