Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590371 | Journal of Functional Analysis | 2013 | 30 Pages |
Abstract
We prove compactness and hence existence for solutions to a class of nonlinear 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory