LEADER 03235nam 2200553 450 001 9910467250403321 005 20200923020339.0 010 $a3-11-049076-5 024 7 $a10.1515/9783110492552 035 $a(CKB)4100000001965710 035 $a(MiAaPQ)EBC5157320 035 $a(DE-B1597)469223 035 $a(OCoLC)1024055624 035 $a(DE-B1597)9783110492552 035 $a(Au-PeEL)EBL5157320 035 $a(CaPaEBR)ebr11500891 035 $a(OCoLC)1020684941 035 $a(EXLCZ)994100000001965710 100 $a20180210h20182018 uy 0 101 0 $ager 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aStochastically forced compressible fluid flows /$fDominic Breit, Eduard Feireisl, Martina Hofmanova? 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2018. 210 4$dİ2018 215 $a1 online resource (332 pages) 225 1 $aDe Gruyter Series in Applied and Numerical Mathematics,$x2512-1820 ;$vVolume 3 311 $a3-11-049050-1 311 $a3-11-049255-5 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tAcknowledgements -- $tNotation -- $tContents -- $tPart I: Preliminary results -- $t1. Elements of functional analysis -- $t2. Elements of stochastic analysis -- $tPart II: Existence theory -- $t3. Modeling fluid motion subject to random effects -- $t4. Global existence -- $t5. Local well-posedness -- $t6. Relative energy inequality and weak-strong uniqueness -- $tPart III: Applications -- $t7. Stationary solutions -- $t8. Singular limits -- $tA. Appendix -- $tB. Bibliographical remarks -- $tIndex 330 $aThis book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the analytical sense. Moreover, the evolution of the energy can be controlled in terms of the initial energy. We analyze the behavior of solutions in short-time (where unique smooth solutions exists) as well as in the long term (existence of stationary solutions). Finally, we investigate the asymptotics with respect to several parameters of the model based on the energy inequality. ContentsPart I: Preliminary results Elements of functional analysis Elements of stochastic analysis Part II: Existence theory Modeling fluid motion subject to random effects Global existence Local well-posedness Relative energy inequality and weak-strong uniqueness Part III: Applications Stationary solutions Singular limits 410 0$aDe Gruyter series in applied and numerical mathematics ;$vVolume 3. 606 $aFluid dynamics 608 $aElectronic books. 615 0$aFluid dynamics. 676 $a532.05 700 $aBreit$b Dominic$0858259 702 $aFeireisl$b Eduard 702 $aHofmanova?$b Martina 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910467250403321 996 $aStochastically forced compressible fluid flows$92455989 997 $aUNINA