{"product_id":"stochastically-forced-compressible-fluid-flows-9783110490503","title":"Stochastically Forced Compressible Fluid Flows","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis 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. \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eContents\u003c\/strong\u003e\u003cbr\u003ePart I: Preliminary results \u003cbr\u003eElements of functional analysis \u003cbr\u003eElements of stochastic analysis \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003ePart II: Existence theory \u003cbr\u003eModeling fluid motion subject to random effects \u003cbr\u003eGlobal existence \u003cbr\u003eLocal well-posedness \u003cbr\u003eRelative energy inequality and weak–strong uniqueness \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003ePart III: Applications \u003cbr\u003eStationary solutions \u003cbr\u003eSingular limits \u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":53516543066455,"sku":"9783110490503","price":103.55,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/stochastically-forced-compressible-fluid-flows-9783110490503","provider":"Book Curl","version":"1.0","type":"link"}