001441559 000__ 03956cam\a2200565Ii\4500
001441559 001__ 1441559
001441559 003__ OCoLC
001441559 005__ 20230309004746.0
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001441559 019__ $$a1290814764$$a1290840978$$a1294356103
001441559 020__ $$a9783030737887$$q(electronic bk.)
001441559 020__ $$a3030737888$$q(electronic bk.)
001441559 020__ $$z9783030737870$$q(print)
001441559 020__ $$z303073787X
001441559 0247_ $$a10.1007/978-3-030-73788-7$$2doi
001441559 035__ $$aSP(OCoLC)1291204350
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001441559 049__ $$aISEA
001441559 050_4 $$aTA357
001441559 08204 $$a620.1/064$$223
001441559 1001_ $$aFeireisl, Eduard,$$eauthor.
001441559 24510 $$aNumerical analysis of compressible fluid flows /$$cEduard Feireisl, Mária Lukáčová-Medvid'ová, Hana Mizerová, Bangwei She.
001441559 264_1 $$aCham :$$bSpringer,$$c2021.
001441559 300__ $$a1 online resource (lx, 482 pages) :$$billustrations (some color).
001441559 336__ $$atext$$btxt$$2rdacontent
001441559 337__ $$acomputer$$bc$$2rdamedia
001441559 338__ $$aonline resource$$bcr$$2rdacarrier
001441559 347__ $$atext file$$bPDF$$2rda
001441559 4901_ $$aMS&A,$$x2037-5263 ;$$vv. 20
001441559 504__ $$aIncludes bibliographical references and index.
001441559 5050_ $$aPart I Mathematics of compressible fluid flow: The state-of-the-art -- 1 Equations governing fluids in motion -- 2 Inviscid fluids: Euler system -- 3 Viscous fluids: Navier-Stokes-(Fourier) system -- Part II Generalized solutions to equations and systems describing compressible fluids -- 4 Classical and weak solutions, relative energy -- 5 Generalized weak solutions -- 6 Weak-strong uniqueness principle -- Part III Numerical analysis -- 7 Weak and strong convergence -- 8 Numerical methods -- 9 Finite volume method for the barotropic Euler system -- 10 Finite volume method for the complete Euler system -- 11 Finite volume method for the Navier-Stokes system -- 12 Finite volume method for the barotropic Euler system - revisited -- 13 Mixed finite volume - finite element method for the Navier-Stokes system -- 14 Finite difference method for the Navier-Stokes system.
001441559 506__ $$aAccess limited to authorized users.
001441559 520__ $$aThis book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists. The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments. Applications of these concepts are to be expected in other problems of fluid mechanics and related fields.
001441559 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 6, 2022).
001441559 650_0 $$aFluid dynamics$$xMathematics.
001441559 650_6 $$aDynamique des fluides$$xMathématiques.
001441559 655_0 $$aElectronic books.
001441559 7001_ $$aLukáčová-Medvid'ová, Mária,$$eauthor.
001441559 7001_ $$aMizerová, Hana,$$eauthor.
001441559 7001_ $$aShe, Bangwei,$$eauthor.
001441559 77608 $$iPrint version:$$z303073787X$$z9783030737870$$w(OCoLC)1241731499
001441559 830_0 $$aMS&A (Series) ;$$vv. 20.$$x2037-5263
001441559 852__ $$bebk
001441559 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-73788-7$$zOnline Access$$91397441.1
001441559 909CO $$ooai:library.usi.edu:1441559$$pGLOBAL_SET
001441559 980__ $$aBIB
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