On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle

DOI10.3934/dcds.2021145zbMath1481.74516OpenAlexW3206459771MaRDI QIDQ2070892

Paolo Piersanti

Publication date: 24 January 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021145

zbMATH Keywords

Sobolev spaceobstacle problemelliptic variational inequalitysecond-order problemelliptic membrane shellimproved regularity

Mathematics Subject Classification ID

Variational inequalities (49J40) Classical linear elasticity (74B05) Shells (74K25) Regularity of solutions of equilibrium problems in solid mechanics (74G40) PDEs in connection with mechanics of deformable solids (35Q74)

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A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case ⋮ On the dynamics of grounded shallow ice sheets: modeling and analysis ⋮ Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method ⋮ On the finite element approximation of the obstacle problem of a Naghdi shell ⋮ Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction ⋮ Asymptotic analysis of linearly elastic elliptic membrane shells subjected to an obstacle

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