Existence and weak stability for a pressureless model with unilateral constraints


Abstract:

We consider a two-phase model described by a pressureless gas system with unilateral constraint. We prove weak stability and existence of weak solutions by passingto the limit in the sticky-blocks dynamics. We obtain the maximum principle on the velocity, the Oleinik entropy condition and local entropy inequalities. Initial data are taken in a very weak sense since the solution can jump initially in time.
 


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