Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System

Figure 1

The Riemann solutions to (1) and (2) in all the situations.

(a) 𝑅+𝐽 when 𝑣₋>𝑣₊>0

(b) 𝑆+𝐽 when 0<𝑣₋<𝑣₊

(c) 𝑅₁+𝑅₂ when −1<𝑣₊<0<𝑣₋

(d) 𝐽+𝑆 when −1<𝑣₋<𝑣₊<0

(e) 𝐽+𝑅 when −1<𝑣₊<𝑣₋<0

(f) 𝛿𝑆 when −1<𝑣₋<0<𝑣₊