Compactness for nonlinear transport equations

Details Compactness for nonlinear transport equations Compactness for nonlinear transport equations

2011-08-19

arxiv.org/abs/1108.4020v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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