A variational principle for doubly nonlinear evolution

DOI10.1016/j.aml.2010.04.047zbMath1195.35187OpenAlexW2076514100MaRDI QIDQ988736

Goro Akagi, Ulisse Stefanelli

Publication date: 18 August 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.04.047

zbMATH Keywords

time discretizationelliptic regularizationsuper-quadratic dissipation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65)

Related Items (18)

Variational resolution of outflow boundary conditions for incompressible Navier–Stokes ⋮ Doubly nonlinear equations for the 1-Laplacian ⋮ A variational view at the time-dependent minimal surface equation ⋮ The weighted energy-dissipation principle and evolutionary Γ-convergence for doubly nonlinear problems ⋮ Doubly nonlinear stochastic evolution equations. II. ⋮ Periodic solutions for doubly nonlinear evolution equations ⋮ A new minimum principle for Lagrangian mechanics ⋮ Existence of evolutionary variational solutions via the calculus of variations ⋮ Dynamic Perfect Plasticity as Convex Minimization ⋮ A variational approach to doubly nonlinear equations ⋮ A variational approach to Navier–Stokes ⋮ Weighted energy-dissipation approach to doubly nonlinear problems on the half line ⋮ Weighted energy-dissipation functionals for doubly nonlinear evolution ⋮ Elliptic-regularization of nonpotential perturbations of doubly-nonlinear gradient flows of nonconvex energies: A variational approach ⋮ Unnamed Item ⋮ Stochastic PDEs via convex minimization ⋮ THE DE GIORGI CONJECTURE ON ELLIPTIC REGULARIZATION ⋮ Weighted energy-dissipation principle for gradient flows in metric spaces

Cites Work

• Unnamed Item
• Minimum principles for the trajectories of systems governed by rate problems
• On some doubly nonlinear evolution equations in Banach spaces
• A new approach to evolution
• Weighted energy-dissipation functionals for gradient flows
• On A Class Of Doubly Nonlinear Evolution Equations
• A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
• The Brezis–Ekeland Principle for Doubly Nonlinear Equations
• A variational characterization of rate-independent evolution
• Elliptic regularization and partial regularity for motion by mean curvature
• A discrete variational principle for rate-independent evolution

This page was built for publication: A variational principle for doubly nonlinear evolution