An abstract Lagrangian process related to convection-diffusion of a passive tracer in a Markovian flow

• Autorzy: Komorowski, T.
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider a motion of a tracer particle in a time Markovian random environment. We show that an abstract valued process describing the environment from the point of view of the moving particle, the so-called Lagrangian dynamics, is also Markovian. We show several properties of the L[sup 2]-semigroup corresponding to this process.

Słowa kluczowe

PL

proces dyfuzyjny; proces Eulera i Lagrange'a; własność Markowa

EN

Eulerian and Lagrangian processes; Markov property

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 4
• Strony: 413--427
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Komorowski, T.

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland ,
• Institute of Mathematics, Maria-Curie Skłodowska University, Pl. Marii-Curie Skłodowskiej 1, 20-031 Lublin, Poland

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