Calculus of Variations and Geometric Measure Theory

L. Ambrosio - L. Ambrosio - G. Crippa - G. Crippa - A. Figalli - A. Figalli - L. V. Spinolo - L. V. Spinolo

Existence and uniqueness results for the continuity equation and applications to the chromatography system

created by figalli on 28 Feb 2011
modified on 20 Aug 2024

[BibTeX]

Published Paper

Inserted: 28 feb 2011
Last Updated: 20 aug 2024

Journal: IMA Vol. Math. Appl.
Year: 2011

Abstract:

We discuss some new well-posedness results for the continuity equation in arbitrary space dimension and we then illustrate applications to a system of conservation laws in one space dimension known as the chromatography system. In the last section, we discuss some related open problems.


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