LEADER 03067nam 2200505 450 001 996538661003316 005 20231121003602.0 010 $a981-9903-85-8 024 7 $a10.1007/978-981-99-0385-6 035 $a(MiAaPQ)EBC30592256 035 $a(Au-PeEL)EBL30592256 035 $a(DE-He213)978-981-99-0385-6 035 $a(PPN)272259373 035 $a(EXLCZ)9926920387200041 100 $a20231121d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStochastic Partial Differential Equations in Fluid Mechanics /$fFranco Flandoli and Eliseo Luongo 205 $aFirst edition. 210 1$aSingapore :$cSpringer,$d[2023] 210 4$dİ2023 215 $a1 online resource (206 pages) 225 1 $aLecture Notes in Mathematics Series ;$vVolume 2330 311 08$aPrint version: Flandoli, Franco Stochastic Partial Differential Equations in Fluid Mechanics Singapore : Springer,c2023 9789819903849 320 $aIncludes bibliographical references. 327 $aChapter -- 1 The Navier?Stokes Equations with Deterministic Rough Force, Chapter -- 2 Stochastic Navier?Stokes Equations and State?Dependent Noise, Chapter -- 3 Transport Noise in the Heat Equation, Chapter -- 4 Transport Noise in the Navier?Stokes Equations, Chapter -- 5 From Small?Scale Turbulence to Eddy Viscosity and Dissipation. 330 $aThis book is devoted to stochastic Navier?Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid. 410 0$aLecture notes in mathematics & computer science ;$vVolume 2330. 606 $aFluid mechanics 606 $aStochastic partial differential equations 615 0$aFluid mechanics. 615 0$aStochastic partial differential equations. 676 $a620.106 700 $aFlandoli$b Franco$0314270 702 $aLuongo$b Eliseo 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996538661003316 996 $aStochastic Partial Differential Equations in Fluid Mechanics$93644518 997 $aUNISA