LEADER 01001nam a2200301 i 4500 001 991001258369707536 005 20020507113526.0 008 970307s1974 us ||| | eng 020 $a0915692066 035 $ab10195580-39ule_inst 035 $aLE00644773$9ExL 040 $aDip.to Fisica$bita 084 $a510(06) 084 $a510.15 084 $a510.17 084 $aQA266 100 1 $aHermann, Robert$0346495 245 10$aSpinors, Clifford and Cayley algebras /$cRobert Hermann 260 $aBrookline, MA :$bMath Sci Press,$c1974 300 $aviii, 276 p. ;$c21 cm. 490 0 $aInterdisciplinary mathematics ;$v7 650 4$aAlgebra, abstract 907 $a.b10195580$b17-02-17$c27-06-02 912 $a991001258369707536 945 $aLE006 510(021) HER$g1$i2006000018586$lle006$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i10241358$z27-06-02 996 $aSpinors, Clifford and Cayley algebras$9191495 997 $aUNISALENTO 998 $ale006$b01-01-97$cm$da $e-$feng$gus $h0$i1 LEADER 01613nam 2200493Ia 450 001 9910701132203321 005 20120109121410.0 035 $a(CKB)5470000002415727 035 $a(OCoLC)771935845 035 $a(EXLCZ)995470000002415727 100 $a20120109d2011 ua 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUpgrade summer severe weather tool phase III$b[electronic resource] /$fLeela Watson 210 1$aKennedy Space Center, Fla. :$cNational Aeronautics and Space Administration, Kennedy Space Center,$d[2011] 215 $a1 online resource (29 pages) $cb illustrations, map 225 1 $aNASA/CR-2011-216299 300 $aTitle from title screen (viewed on Jan. 9, 2012). 300 $a"April 2011." 300 $aIncludes bibliographical references (p. 27). 517 3 $aUpgrade summer severe weather tool phase 3 606 $aSummer$2nasat 606 $aWeather$2nasat 606 $aClimatology$2nasat 606 $aWind (meteorology)$2nasat 606 $aData bases$2nasat 606 $aPrecipitation (meteorology)$2nasat 615 7$aSummer. 615 7$aWeather. 615 7$aClimatology. 615 7$aWind (meteorology) 615 7$aData bases. 615 7$aPrecipitation (meteorology) 700 $aWatson$b Leela$01412556 712 02$aJohn F. Kennedy Space Center. 801 0$bGPO 801 1$bGPO 906 $aBOOK 912 $a9910701132203321 996 $aUpgrade summer severe weather tool phase III$93506482 997 $aUNINA LEADER 03601nam 22005895 450 001 9910483133803321 005 20251113180810.0 010 $a3-030-68147-5 024 7 $a10.1007/978-3-030-68147-0 035 $a(CKB)4100000011934735 035 $a(DE-He213)978-3-030-68147-0 035 $a(MiAaPQ)EBC6621463 035 $a(Au-PeEL)EBL6621463 035 $a(OCoLC)1256237371 035 $a(PPN)255885385 035 $a(EXLCZ)994100000011934735 100 $a20210513d2021 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamics and Analysis of Alignment Models of Collective Behavior /$fby Roman Shvydkoy 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2021. 215 $a1 online resource (XIV, 208 p. 16 illus., 2 illus. in color.) 225 1 $aNe?as Center Series,$x2523-3351 311 08$a3-030-68146-7 327 $aEmergent phenomena and overview of existing models -- Agent-based alignment systems -- Forced systems -- Kinetic models -- Macroscopic description. Hydrodynamic limit -- Euler Alignment System -- Local well-posedness and continuation criteria -- One-dimensional theory -- Global solutions to multi-dimensional systems. 330 $aThis book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. Analytical aspects are highlighted throughout, such as regularity theory and long time behavior of solutions. Featuring open problems, readers will be motivated to apply these breakthrough methods to future research. The chapters offer an overview of state of the art research with introductions to core concepts. Chapter One introduces the central focus of the book: The agent-based Cucker-Smale system. Further agent-based systems and alignment systems are covered in chapters Two and Three. Following this are chapters covering the kinetic and hydrodynamic variants of the Cucker-Smale system. The core well-posedness theory of both smooth and singular models is then presented. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems. Dynamics and Analysis of Alignment Models of Collective Behavior is ideal for graduate students and researchers studying PDEs, especially those interested in the active areas of collective behavior and alignment models. 410 0$aNe?as Center Series,$x2523-3351 606 $aMathematical models 606 $aBiomathematics 606 $aMathematical analysis 606 $aMathematical Modeling and Industrial Mathematics 606 $aMathematical and Computational Biology 606 $aAnalysis 615 0$aMathematical models. 615 0$aBiomathematics. 615 0$aMathematical analysis. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical and Computational Biology. 615 24$aAnalysis. 676 $a511.8 700 $aShvydkoy$b Roman$0852938 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483133803321 996 $aDynamics and Analysis of Alignment Models of Collective Behavior$91904773 997 $aUNINA