We extend to multi-dimension the study of a pressureless model of gas system with unilateral constraint. Several difficulties are added with respect to the one-dimensional case. First, the geometry of the dynamics of blocks cannot be conserved and to solve this problem, a splitting with respect to the various directions is done. This leads to approximations of solutions for special initial data...

The effect of gas drainage is often affected by water after hydraulic infiltration enhancement measures are adopted for soft and weak permeability coal. In order to understand the characteristics coal in state water, a three-phase pipe domain model established. Using improved triaxial seepage test platform, three groups cyclic tests under different pressure injection conditions carried out on r...

The procedure used for finding delta shock type solutions to some conservation laws known as Shadow Waves are now used for finding a solution to pressureless gas dynamics model with body force added as a source. The obtained solution in this paper resembles the one to pressureless gas dynamics model without a source. If the body force interpreted as the acceleration constant multiplied by the d...

The phenomena of concentration and cavitation and the formation of δ-shocks and vacuum states in solutions to the Euler equations for isentropic fluids are identified and analyzed as the pressure vanishes. It is shown that, as the pressure vanishes, any two-shock Riemann solution to the Euler equations for isentropic fluids tends to a δ-shock solution to the Euler equations for pressureless flu...

In this paper, we apply discontinuous Galerkin (DG) methods to solve two model equations: Krause’s consensus models and pressureless Euler equations. These two models are used to describe the collisions of particles, and the distributions can be identified as density functions. If the particles are placed at a single point, then the density function turns out to be a δ-function and is difficult...

ZTA powder with a composition of 85 wt% alumina/15 wt% zirconia was prepared by a gel precipitation method. Sinter forging was performed with this powder to enhance the mechanical properties of ZTA materials. The influence of processing flaws on mechanical properties of sinter forged materials and pressureless sintered materials was investigated. Sinter forging at 40 MPa effectively decreases p...

We present a new hydrodynamic model for the interactions between collision-free Cucker–Smale flocking particles and a viscous incompressible fluid. Our proposed model consists of two hydrodynamic models. For the Cucker–Smale flocking particles, we employ the pressureless Euler system with a non-local flocking dissipation, whereas for the fluid, we use the incompressible Navier–Stokes equations....