A new minimum principle for Lagrangian mechanics

DOI10.1007/s00332-012-9148-zzbMath1358.70027OpenAlexW2114469497WikidataQ59901635 ScholiaQ59901635MaRDI QIDQ1956214

Matthias Liero, Ulisse Stefanelli

Publication date: 13 June 2013

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-012-9148-z

zbMATH Keywords

minimum principleLagrangian mechanicstime discretizationelliptic regularization

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Other variational principles in mechanics (70H30) Lagrange's equations (70H03)

Related Items (12)

Variational resolution of outflow boundary conditions for incompressible Navier–Stokes ⋮ The weighted energy-dissipation principle and evolutionary Γ-convergence for doubly nonlinear problems ⋮ On the weighted inertia-energy approach to forced wave equations ⋮ De Giorgi’s approach to hyperbolic Cauchy problems: The case of nonhomogeneous equations ⋮ An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach ⋮ Dynamic Perfect Plasticity as Convex Minimization ⋮ Variational methods for evolution. Abstracts from the workshop held November 12--18, 2017 ⋮ A variational approach to Navier–Stokes ⋮ Weighted energy-dissipation approach to doubly nonlinear problems on the half line ⋮ A variational approach to symmetry, monotonicity, and comparison for doubly-nonlinear equations ⋮ Stochastic PDEs via convex minimization ⋮ Weighted energy-dissipation principle for gradient flows in metric spaces

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