A variational principle for doubly nonlinear evolution

The weighted energy-dissipation principle stands as a novel variational tool for the study of dissipative evolution and has been already applied to rate-independent systems and gradient flows. We provide here an example of application to a specific yet critical doubly nonlinear equation featuring a super-quadratic dissipation.

• Type: Journal
• Year: 2010
• Where: APPML
• Authors: Goro Akagi, Ulisse Stefanelli
• Keywords: APPML 2010, Dissipative Evolution, Nonlinear Equation, Weighted Energy-dissipation Principle