001445734 000__ 03234cam\a2200541Ia\4500 001445734 001__ 1445734 001445734 003__ OCoLC 001445734 005__ 20230310003847.0 001445734 006__ m\\\\\o\\d\\\\\\\\ 001445734 007__ cr\un\nnnunnun 001445734 008__ 220407s2022\\\\sz\\\\\\ob\\\\001\0\eng\d 001445734 019__ $$a1309865959$$a1309960811$$a1333205805 001445734 020__ $$a9783030947934$$q(electronic bk.) 001445734 020__ $$a3030947939$$q(electronic bk.) 001445734 020__ $$z3030947920$$q(print) 001445734 020__ $$z9783030947927$$q(print) 001445734 0247_ $$a10.1007/978-3-030-94793-4$$2doi 001445734 035__ $$aSP(OCoLC)1309132296 001445734 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dN$T$$dSFB$$dUKAHL$$dOCLCQ 001445734 049__ $$aISEA 001445734 050_4 $$aQA901 001445734 08204 $$a620.1/06$$223 001445734 1001_ $$aFeireisl, Eduard,$$eauthor. 001445734 24510 $$aMathematics of open fluid systems /$$cEduard Feireisl, Antonin Novotný. 001445734 260__ $$aCham, Switzerland :$$bSpringer,$$c2022. 001445734 300__ $$a1 online resource. 001445734 336__ $$atext$$btxt$$2rdacontent 001445734 337__ $$acomputer$$bc$$2rdamedia 001445734 338__ $$aonline resource$$bcr$$2rdacarrier 001445734 4901_ $$aNečas Center series 001445734 504__ $$aIncludes bibliographical references and index. 001445734 5050_ $$aPart I: Modelling -- Mathematical Models of Fluids in Continuum Mechanics -- Open vs. Closed Systems -- Part II: Analysis -- Generalized Solutions -- Constitutive Theory and Weak-Strong Uniqueness Revisited.-Existence Theory, Basic Approximation Scheme -- Vanishing Galerkin Limit and Domain Approximation.-Vanishing Artificial Diffusion Limit -- Vanishing Artificial Pressure Limit -- Existence Theory - Main Results.-Part III: Qualitative Properties -- Long Time Behavior -- Statistical Solutions, Ergodic Hypothesis, and Turbulence -- Systems with Prescribed Boundary Temperature. 001445734 506__ $$aAccess limited to authorized users. 001445734 520__ $$aThe goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis. 001445734 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 7, 2022). 001445734 650_0 $$aFluid mechanics. 001445734 650_6 $$aMécanique des fluides. 001445734 655_0 $$aElectronic books. 001445734 655_7 $$aLlibres electrònics.$$2thub 001445734 7001_ $$aNovotný, A.,$$eauthor. 001445734 77608 $$iPrint version: $$z3030947920$$z9783030947927$$w(OCoLC)1288668925 001445734 830_0 $$aNečas Center series. 001445734 852__ $$bebk 001445734 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-94793-4$$zOnline Access$$91397441.1 001445734 909CO $$ooai:library.usi.edu:1445734$$pGLOBAL_SET 001445734 980__ $$aBIB 001445734 980__ $$aEBOOK 001445734 982__ $$aEbook 001445734 983__ $$aOnline 001445734 994__ $$a92$$bISE