Article ID Journal Published Year Pages File Type
4611785 Journal of Differential Equations 2012 21 Pages PDF
Abstract

The subject of this paper is evolutionary equations, such as the Hunter–Saxton equation or hyperbolic conservation laws, with the property that the initial value problem admits a multitude of solutions along which a certain “energy” functional decays at different rates. The aim is to examine whether solutions that dissipate the energy at maximal rate command special status.

Related Topics
Physical Sciences and Engineering Mathematics Analysis