1. On measure solutions to the Zero-pressure gas model and their uniqueness
- Creator:
- Li, Jiequan and Warnecke, Gerald
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- zero-pressure gas dynamics, measure solutions uniqueness, entropy condition, cohesion condition, and generalized characteristics
- Language:
- English
- Description:
- The system of zero-pressure gas dynamics conservation laws describes the dynamics of free particles sticking under collision while mass and momentum are conserved. The existence of such solutions was established some time ago. Here we report a uniqueness result that uses the Oleinik entropy condition and a cohesion condition. Both of these conditions are automatically satisfied by solutions obtained in previous existence results. Important tools in the proof of uniqueness are regularizations, generalized characteristics and flow maps. The solutions may contain vacuum states as well as singular measures.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public