LEADER 00933nam 2200337Ia 450 001 996392734303316 005 20221108100651.0 035 $a(CKB)1000000000685795 035 $a(EEBO)2248569921 035 $a(OCoLC)12152281 035 $a(EXLCZ)991000000000685795 100 $a19850613d1689 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 10$aInstructions for particular states$b[electronic resource] 210 $a[London $cs.n.]$d1689 215 $a360 p 300 $aAttributed to John Gother by Wing. 300 $aReproduction of original in Huntington Library. 330 $aeebo-0113 606 $aChristian life 615 0$aChristian life. 700 $aGother$b John$fd. 1704.$0821390 801 0$bEAA 801 1$bEAA 801 2$bm/c 801 2$bWaOLN 906 $aBOOK 912 $a996392734303316 996 $aInstructions for particular states$92341962 997 $aUNISA LEADER 05581nam 22007455 450 001 9910392723003321 005 20220330192947.0 010 $a3-319-27760-X 024 7 $a10.1007/978-3-319-27760-8 035 $a(CKB)3710000000645543 035 $a(EBL)4504822 035 $a(SSID)ssj0001666018 035 $a(PQKBManifestationID)16455582 035 $a(PQKBTitleCode)TC0001666018 035 $a(PQKBWorkID)15000110 035 $a(PQKB)10000023 035 $a(DE-He213)978-3-319-27760-8 035 $a(MiAaPQ)EBC4504822 035 $a(PPN)193444232 035 $a(EXLCZ)993710000000645543 100 $a20160412d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNavier?Stokes equations $ean introduction with applications /$fby Grzegorz ?ukaszewicz, Piotr Kalita 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (395 p.) 225 1 $aAdvances in Mechanics and Mathematics,$x1571-8689 300 $aDescription based upon print version of record. 311 $a3-319-27758-8 320 $aIncludes bibliographical references and index. 327 $aIntroduction and summary -- Equations of classical hydrodynamics -- Mathematical preliminaries -- Stationary solutions of the Navier?Stokes equations -- Stationary solutions of the Navier?Stokes equations with friction -- Stationary flows in narrow films and the Reynolds equation -- Autonomous two-dimensional Navier?Stokes equations -- Invariant measures and statistical solutions -- Global attractors and a lubrication problem -- Exponential attractors in contact problems -- Non-autonomous Navier?Stokes equations and pullback attractors -- Pullback attractors and statistical solutions -- Pullback attractors and shear flows -- Trajectory attractors and feedback boundary control in contact problems.-Evolutionary systems and the Navier?Stokes equations -- Attractors for multivalued processes in contact problems -- References -- Index. 330 $aThis volume is devoted to the study of the Navier?Stokes equations, providing a comprehensive reference for a range of applications: from students to engineers and mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier?Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier?Stokes equations. Incompressible Navier?Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier?Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system. 410 0$aAdvances in Mechanics and Mathematics,$x1571-8689 606 $aDifferential equations, Partial 606 $aDifferential equations 606 $aDynamics 606 $aErgodic theory 606 $aFluid mechanics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044 615 0$aDifferential equations, Partial. 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aFluid mechanics. 615 14$aPartial Differential Equations. 615 24$aOrdinary Differential Equations. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aEngineering Fluid Dynamics. 676 $a537.5160151607 700 $a?ukaszewicz$b Grzegorz$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755994 702 $aKalita$b Piotr$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910392723003321 996 $aNavier?Stokes Equations$92162758 997 $aUNINA