TY  - JOUR
AB  - We analyze the Markov property of solutions to the compressible Navier-Stokes system perturbed by a general multiplicative stochastic forcing. We show the existence of an almost sure Markov selection to the associated martingale problem. Our proof is based on the abstract framework introduced in Flandoli and Romito (Probab. Theory Related Fields 40 (2008) 407-458). A major difficulty arises from the fact, different from the incompressible case, that the velocity field is not continuous in time. In addition, it cannot be recovered from the variables whose time evolution is described by the Navier-Stokes system, namely, the density and the momentum. We overcome this issue by introducing an auxiliary variable into the Markov selection procedure.
DA  - 2020
DO  - 10.1214/20-AAP1566
LA  - eng
IS  - 6
M2  - 2547
PY  - 2020
SN  - 1050-5164
SP  - 2547-2572
T2  - Annals of Applied Probability
TI  - Markov selection for the stochastic compressible Navier-Stokes system
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29332042
Y2  - 2024-11-21T23:08:02
ER  -