Minimization of hyperbolic systems of conservation laws
Abstract
In this paper, we consider the Cauchy problem for a generic hyperbolic system of conservation laws and assume it is provided by a standard Riemann semigroup of solutions, for summable initial data with small total variation. Then, we introduce an integral functional involving the solutions of the Cauchy problem and investigate when such a functional has a (nontrivial) minimum in case the initial data vary in suitable admissible classes of functions.
Fields of Study & Subjects
Computational Fluid Dynamics and Aerodynamics
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Journal of Hyperbolic Differential Equations
- Volume
- 23
- Issue
- 01
- Pages
- 87–106
- Publication date
- 27 February 2026
- Language
- EN