The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws

Concentration and cavitation in the Euler equations for nonisentropic fluids with the flux approximation

“…It has attracted more and more attention since 1994, for example, see [1,2,10,11,17,18,20,27,29] and the references cited therein. It has attracted more and more attention since 1994, for example, see [1,2,10,11,17,18,20,27,29] and the references cited therein.…”

The Riemann problem for nonlinear degenerate wave equations

“…Hence, by introducing the degenerate shock under the generalized shock condition as [3], the global solutions to (1) and (2) are constructively obtained case by case. For the characteristic analysis method, we can refer to [10][11][12][13][14]. The paper is arranged as follows.…”

Two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics

“…For delta-shock wave, we refer readers to Refs. [4][5][6][7][8][9]. By using the generalized Rankine-Hugoniot relation, which is a system of ordinary (one-dimensional) or partial differential equations (multidimensional), the delta-shock wave obtains a good description from the perspective of location, propagation speed and weight.…”