Concentration and cavitation phenomena of Riemann solutions for the isothermal three-component model

Riemann solutions with four different structures are explicitly derived for the one-dimensional one-velocity and one-pressure compressible three-component model under the isothermal equation of state. The vacuum and delta shock formation in the Riemann solutions for the pressureless three-component model can be specifically deduced from the corresponding ones for the above-mentioned isothermal three-component model by letting the perturbation parameter drop to zero. Additionally, the associated phenomena of cavitation and concentration are observed and explored in detail during the entire process of taking the limit.