Singular limits in phase dynamics with physical viscosity and capillarity
Singular limits in phase dynamics with physical viscosity and capillarity
Following pioneering work by Fan and Slemrod, who studied the effect of artificial viscosity terms, we consider the system of conservation laws arising in liquid–vapour phase dynamics with physical viscosity and capillarity effects taken into account. Following Dafermos, we consider self-similar solutions to the Riemann problem and establish uniform total …