Calculus of Variations and Geometric Measure Theory

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

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

created by figalli on 28 Feb 2011



Inserted: 28 feb 2011

Journal: IMA Vol. Math. Appl., Springer
Year: 2010


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.