@inproceedings{14d82f147dac4b4495d9e7a52cc6324c,

title = "Stochastic Navier-Stokes equation for a compressible fluid: Two-loop approximation",

abstract = "A model of fully developed turbulence of a compressible fluid is briefly reviewed. It is assumed that fluid dynamics is governed by a stochastic version of Navier-Stokes equation. We show how corresponding field theoretic-model can be obtained and further analyzed by means of the perturbative renormalization group. Two fixed points of the RG equations are found. The perturbation theory is constructed within formal expansion scheme in parameter y, which describes scaling behavior of random force fluctuations. Actual calculations for fixed points{\textquoteright} coordinates are performed to two-loop order.",

keywords = "Anomalous scaling, Compressibility, Field-theoretic renormalization group, Stochastic Navier-Stokes equation",

author = "Michal Hnati{\v c} and Gulitskiy, {Nikolay M.} and Tom{\'a}{\v s} Lu{\v c}ivjansk{\'y} and Luk{\'a}{\v s} Mi{\v z}i{\v s}in and Viktor {\v S}kult{\'e}ty",

year = "2019",

month = jan,

day = "1",

doi = "10.1007/978-3-030-15297-0_16",

language = "English",

isbn = "9783030152963",

series = "Springer Proceedings in Complexity",

publisher = "Springer Nature",

pages = "175--187",

editor = "Skiadas, {Christos H.} and Ihor Lubashevsky",

booktitle = "11th Chaotic Modeling and Simulation International Conference, 2018",

address = "Germany",

note = "11th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2018 ; Conference date: 05-06-2018 Through 08-06-2018",

}