Well-Posedness of History-Dependent Sweeping Processes

DOI10.1137/18M1201561zbMath1412.49055WikidataQ128093455 ScholiaQ128093455MaRDI QIDQ4631727

Mircea Sofonea, Stanislaw Migórski, Sheng-Da Zeng

Publication date: 18 April 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

unilateral constraintsviscoelastic materialexistence and uniquenesshistory-dependent operatorsweeping processfrictional contact problemvariable time step-length method

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Friction in solid mechanics (74M10) Hamilton's principle (70H25) Weak solutions to PDEs (35D30) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Hamilton-Jacobi equations in mechanics (70H20) Initial value problems for second-order hyperbolic equations (35L15) Discrete approximations in optimal control (49M25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86) Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators (35L87)

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Cites Work

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