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On stability of velocity vectors for some passive tracer models
Author(s) -
Szarek Tomasz,
Ślȩczka Maciej,
Urbański Mariusz
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdq055
Subject(s) - mathematics , stability (learning theory) , tracer , markov chain , flow (mathematics) , compressibility , mathematical analysis , random walk , statistical physics , statistics , mechanics , geometry , physics , computer science , machine learning , nuclear physics
A new result for stability of Markov semigroups is presented. We apply this result to the equation of the passive tracer in a compressible random flow showing that the velocity of a particle converges weakly to some random vector.