Optimal Propagating Fronts Using Hamilton-Jacobi Equations
Abstract
The optimal handling of level sets associated to the solution of Hamilton-Jacobi equations such as the normal flow equation is investigated. The goal is to find the normal velocity minimizing a suitable cost functional that accounts for a desired behavior of level sets over time. Sufficient conditions of optimality are derived that require the solution of a system of nonlinear Hamilton-Jacobi equations. Since finding analytic solutions is difficult in general, the use of numerical methods to obtain approximate solutions is addressed by dealing with some case studies in two and three dimensions.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Nov 16, 2019
- Source ID
- 10.3390/math7111122
Entities
People
- Angelo Alessandri
- Mauro Gaggero
- Patrizia Bagnerini
- Roberto Cianci
Organizations
- Air Force Office of Scientific Research