Page 1

Displaying 1 – 1 of 1

Showing per page

Convex hulls, Sticky particle dynamics and Pressure-less gas system

Octave Moutsinga (2008)

Annales mathématiques Blaise Pascal

We introduce a new condition which extends the definition of sticky particle dynamics to the case of discontinuous initial velocities u 0 with negative jumps. We show the existence of a stochastic process and a forward flow φ satisfying X s + t = φ ( X s , t , P s , u s ) and d X t = E [ u 0 ( X 0 ) / X t ] d t , where P s = P X s - 1 is the law of X s and u s ( x ) = E [ u 0 ( X 0 ) / X s = x ] is the velocity of particle x at time s 0 . Results on the flow characterization and Lipschitz continuity are also given.Moreover, the map ( x , t ) M ( x , t ) : = P ( X t x ) is the entropy solution of a scalar conservation law t M + x ( A ( M ) ) = 0 where the flux A represents the particles...

Currently displaying 1 – 1 of 1

Page 1