Summary: EXISTENCE AND UNIQUENESS
RESULTS FOR THE CONTINUITY
EQUATION AND APPLICATIONS
TO THE CHROMATOGRAPHY
SYSTEM
LUIGI AMBROSIO
GIANLUCA CRIPPA
ALESSIO FIGALLI
LAURA V. SPINOLO
Preprint di Matematica ­ N. 6
Dicembre 2009
EXISTENCE AND UNIQUENESS RESULTS FOR THE
CONTINUITY EQUATION AND APPLICATIONS TO THE
CHROMATOGRAPHY SYSTEM
LUIGI AMBROSIO, GIANLUCA CRIPPA , ALESSIO FIGALLI , AND
LAURA V. SPINOLO §
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.

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

Collections: Mathematics