03235nam 2200553 450 991046725040332120200923020339.03-11-049076-510.1515/9783110492552(CKB)4100000001965710(MiAaPQ)EBC5157320(DE-B1597)469223(OCoLC)1024055624(DE-B1597)9783110492552(Au-PeEL)EBL5157320(CaPaEBR)ebr11500891(OCoLC)1020684941(EXLCZ)99410000000196571020180210h20182018 uy 0gerurcnu||||||||rdacontentrdamediardacarrierStochastically forced compressible fluid flows /Dominic Breit, Eduard Feireisl, Martina HofmanováBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2018.©20181 online resource (332 pages)De Gruyter Series in Applied and Numerical Mathematics,2512-1820 ;Volume 33-11-049050-1 3-11-049255-5 Includes bibliographical references and index.Frontmatter -- Acknowledgements -- Notation -- Contents -- Part I: Preliminary results -- 1. Elements of functional analysis -- 2. Elements of stochastic analysis -- Part II: Existence theory -- 3. Modeling fluid motion subject to random effects -- 4. Global existence -- 5. Local well-posedness -- 6. Relative energy inequality and weak-strong uniqueness -- Part III: Applications -- 7. Stationary solutions -- 8. Singular limits -- A. Appendix -- B. Bibliographical remarks -- IndexThis book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the analytical sense. Moreover, the evolution of the energy can be controlled in terms of the initial energy. We analyze the behavior of solutions in short-time (where unique smooth solutions exists) as well as in the long term (existence of stationary solutions). Finally, we investigate the asymptotics with respect to several parameters of the model based on the energy inequality. ContentsPart I: Preliminary results Elements of functional analysis Elements of stochastic analysis Part II: Existence theory Modeling fluid motion subject to random effects Global existence Local well-posedness Relative energy inequality and weak-strong uniqueness Part III: Applications Stationary solutions Singular limits De Gruyter series in applied and numerical mathematics ;Volume 3.Fluid dynamicsElectronic books.Fluid dynamics.532.05Breit Dominic858259Feireisl EduardHofmanová MartinaMiAaPQMiAaPQMiAaPQBOOK9910467250403321Stochastically forced compressible fluid flows2455989UNINA