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Modeling defibrillation as a hybrid optimal control problem constrained with hyperelasticity and the global injectivity condition

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Publication:6452267
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arXiv2309.12973MaRDI QIDQ6452267

Sébastien Court

Publication date: 22 September 2023




Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization problems in solid mechanics (74P99) Existence of solutions of dynamical problems in solid mechanics (74H20) Coupling of solid mechanics with other effects (74F99) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10) Regularity of solutions of dynamical problems in solid mechanics (74H30)





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