The paper is concerned with sticky weak solutions to the equations of pressureless gases in two or more space dimensions. Various initial data are constructed, showing that the Cauchy problem can have (i) two distinct sticky solutions, or (ii) no sticky solution, not even locally in time. In both cases the initial density is smooth with compact support, while the initial velocity field is conti...

We describe δ shock wave arising from continuous initial data in the case of triangular conservation law system arising from ”generalized pressureless gas dynamics model” (e.g. [12]). We use the weak asymptotic method [8, 9]. In this paper we investigate formation of δ-shock wave in the case of triangular system of conservation laws: ut + (f(u))x = 0, (1) vt + (vg(u))x = 0, (2) with continuous ...

This paper studies the quasi-neutral limit of pressureless Navier-Stokes-Poisson equations in plasma physics in the torus T. For well prepared initial data the convergence of solutions of compressible Navier-Stokes-Poisson equations to the solutions of incompressible Navier-Stokes equations is justified rigorously by using the curl-div decomposition of the gradient. And a priori estimates with ...