LEADER 01658nam 2200445 450 001 9910132360803321 005 20231021042629.0 010 $a1-4673-6173-9 035 $a(CKB)3460000000126460 035 $a(NjHacI)993460000000126460 035 $a(EXLCZ)993460000000126460 100 $a20231021d2013 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a2013 ACM/IEEE International Workshop on System Level Interconnect Prediction (SLIP 2013) $eAustin, Texas, USA 2 June 2013 /$fInternational Workshop on System-Level Interconnect Prediction 210 1$aPiscataway, N.J. :$cIEEE,$d2013. 215 $a1 online resource (58 pages) $cillustrations 311 $a1-4673-6172-0 517 $a2013 ACM/IEEE International Workshop on System Level Interconnect Prediction 517 $aSystem Level Interconnect Prediction 606 $aIntegrated circuits$xVery large scale integration$xDesign and construction$vCongresses 606 $aComputer architecture$vCongresses 606 $aElectronic digital computers$xEvaluation$vCongresses 606 $aMultiprocessors 606 $aMultiprocessors$vCongresses 615 0$aIntegrated circuits$xVery large scale integration$xDesign and construction 615 0$aComputer architecture 615 0$aElectronic digital computers$xEvaluation 615 0$aMultiprocessors. 615 0$aMultiprocessors 676 $a621.395 801 0$bNjHacI 801 1$bNjHacl 906 $aPROCEEDING 912 $a9910132360803321 996 $a2013 ACM$92506079 997 $aUNINA LEADER 04682nam 22005415 450 001 9910300124503321 005 20250610110610.0 010 $a3-030-00638-7 024 7 $a10.1007/978-3-030-00638-9 035 $a(CKB)4100000007159020 035 $a(MiAaPQ)EBC5603000 035 $a(DE-He213)978-3-030-00638-9 035 $a(PPN)232471274 035 $a(MiAaPQ)EBC29095473 035 $a(EXLCZ)994100000007159020 100 $a20181121d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSingular Perturbations and Boundary Layers /$fby Gung-Min Gie, Makram Hamouda, Chang-Yeol Jung, Roger M. Temam 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (424 pages) 225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v200 311 08$a3-030-00637-9 320 $aIncludes bibliographical references and index. 327 $aChapter 01- Singular perturbations in dimension one -- Chapter 2- Singular perturbations in higher dimensions in a channel -- Chapter 3- Boundary layers in a curved domain in Rd, d = 2;3 -- Chapter 4- Corner layers and turning points for convection-diffusion equations -- Chapter 5- Convection-diffusion equations in a circular domain with characteristic point layers -- Chapter 6- The Navier-Stokes equations in a periodic channel -- Chapter 7- The Navier-Stokes equations in a curved domain -- Appendix -- References. 330 $aSingular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the domain. Important physical phenomena occur in boundary layers. The most common boundary layers appear in fluid mechanics, e.g., the flow of air around an airfoil or a whole airplane, or the flow of air around a car. Also in many instances in geophysical fluid mechanics, like the interface of air and earth, or air and ocean. This self-contained monograph is devoted to the study of certain classes of singular perturbation problems mostly related to thermic, fluid mechanics and optics and where mostly elliptic or parabolic equations in a bounded domain are considered. This book is a fairly unique resource regarding the rigorous mathematical treatment of boundary layer problems. The explicit methodology developed in this book extends in many different directions the concept of correctors initially introduced by J. L. Lions, and in particular the lower- and higher-order error estimates of asymptotic expansions are obtained in the setting of functional analysis. The review of differential geometry and treatment of boundary layers in a curved domain is an additional strength of this book. In the context of fluid mechanics, the outstanding open problem of the vanishing viscosity limit of the Navier-Stokes equations is investigated in this book and solved for a number of particular, but physically relevant cases. This book will serve as a unique resource for those studying singular perturbations and boundary layer problems at the advanced graduate level in mathematics or applied mathematics and may be useful for practitioners in other related fields in science and engineering such as aerodynamics, fluid mechanics, geophysical fluid mechanics, acoustics and optics. 410 0$aApplied Mathematical Sciences,$x0066-5452 ;$v200 606 $aFunctional analysis 606 $aApproximation theory 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 615 0$aFunctional analysis. 615 0$aApproximation theory. 615 14$aFunctional Analysis. 615 24$aApproximations and Expansions. 676 $a629.13237 700 $aGie$b Gung-Min$4aut$4http://id.loc.gov/vocabulary/relators/aut$0947683 702 $aHamouda$b Makram$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aJung$b Chang-Yeol$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTemam$b Roger M$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300124503321 996 $aSingular Perturbations and Boundary Layers$92141286 997 $aUNINA