Abstract
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 dX t =E[u 0 (X 0 )/X t ]dt, where P s =PX 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
