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

DOI10.1142/S0219530522400024zbMath1501.35224arXiv2202.05625OpenAlexW4291014518MaRDI QIDQ5049159

Kristen White, Bogdan Dragnea, Paolo Piersanti, Roger M. Temam

Publication date: 11 November 2022

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.05625

zbMATH Keywords

variational inequalitiesobstacle problemspenalty method

Mathematics Subject Classification ID

Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (3)

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 ⋮ Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction

Cites Work

• Unnamed Item
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• A confinement problem for a linearly elastic Koiter's shell
• Handbook of applied analysis
• Functional analysis, Sobolev spaces and partial differential equations
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Existence of global solutions of elliptic systems
• A confinement problem for a linearly elastic membrane shell of elliptic type
• On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle
• Numerical methods for static shallow shells lying over an obstacle
• Entire radial solutions of elliptic systems and inequalities of the mean curvature type
• Optimization theory and methods. Nonlinear programming
• On the solutions of a dynamic contact problem for a thermoelastic von Kármán plate
• An obstacle problem for elliptic membrane shells
• An Introduction to Variational Inequalities and Their Applications
• On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle
• Modelling virus contact mechanics under atomic force imaging conditions
• An obstacle problem for Koiter’s shells
• Variational methods for the solution of problems of equilibrium and vibrations
• Nonlinear partial differential equations with applications

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