Compactness for nonlinear transport equations
Analysis of PDEs
2011-08-22 v1 Functional Analysis
Abstract
We prove compactness and hence existence for solutions to a class of non linear transport equations. The corresponding models combine the features of linear transport equations and scalar conservation laws. We introduce a new method which gives quantitative compactness estimates compatible with both frameworks.
Cite
@article{arxiv.1108.4020,
title = {Compactness for nonlinear transport equations},
author = {Fethi Ben Belgacem and Pierre-Emmanuel Jabin},
journal= {arXiv preprint arXiv:1108.4020},
year = {2011}
}