LEADER 04055nam 2200613 450 001 9910480591403321 005 20170924234005.0 010 $a0-8218-8205-8 035 $a(CKB)3240000000070049 035 $a(EBL)3113249 035 $a(SSID)ssj0000629392 035 $a(PQKBManifestationID)11437683 035 $a(PQKBTitleCode)TC0000629392 035 $a(PQKBWorkID)10719229 035 $a(PQKB)10690545 035 $a(MiAaPQ)EBC3113249 035 $a(PPN)197108555 035 $a(EXLCZ)993240000000070049 100 $a20100422h20102010 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear partial differential equations and hyperbolic wave phenomena $ethe 2008-2009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study of the Norwegian Academy of Sciences and Letters, Oslo, Norway /$fHelge Holden, Kenneth H. Karlsen, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2010] 210 4$dİ2010 215 $a1 online resource (402 p.) 225 1 $aContemporary mathematics ;$vvolume 526 300 $aDescription based upon print version of record. 311 $a0-8218-4976-X 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Preface""; ""A hyperbolic model of granular flow""; ""1. The model of granular flow""; ""2. Global smooth solutions""; ""3. Global existence of large BV solutions""; ""4. Global BV solutions of an initial boundary value problem""; ""5. Slow erosion limit""; ""References""; ""Hilbertian approaches to some non-linear conservation laws""; ""On the asymptotic behavior of the gradient flow of a polyconvex functional""; ""On degenerate partial differential equations""; ""Symmetric solutions to multi-dimensional conservation laws"" 327 $a""Product estimates for wave-Sobolev spaces in 2 + 1 and 1 + 1 dimensions""""1. Introduction""; ""2. Notation and preliminaries""; ""3. The case b0 = b1 = 0 < b2""; ""4. The case b0 = 0 < b1, b2 in 2d""; ""5. The case 0 < b0, b1, b2 in 2d""; ""6. The case b0 < 0 < b1, b2 in 2d""; ""7. The product law in 1d""; ""References""; ""On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data""; ""Asymptotic analysis in thermodynamics of viscous fluids""; ""1. Introduction""; ""2. Mathematical theory of fluid dynamics""; ""3. Long-time behavior"" 327 $a""4. Scale analysis""""References""; ""Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation""; ""Instability of solitary waves for a nonlinearly dispersive equation""; ""Kinetic relations for undercompressive shock waves. Physical, mathematical,and numerical issues""; ""Global regularity, and wave breaking phenomena in a class of nonlocaldispersive equations""; ""Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws""; ""A local and low-order Navier-Stokes-Korteweg system"" 327 $a""Local existence for viscous system of conservation laws: Hs-data with s > 1 + d/2""""Finite difference methods for discretizing singular source terms in a Poisson interface problem"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 526. 606 $aDifferential equations, Nonlinear$vCongresses 606 $aDifferential equations, Hyperbolic$vCongresses 606 $aDifferential equations, Partial$vCongresses 608 $aElectronic books. 615 0$aDifferential equations, Nonlinear 615 0$aDifferential equations, Hyperbolic 615 0$aDifferential equations, Partial 676 $a515/.353 702 $aHolden$b H$g(Helge),$f1956- 702 $aKarlsen$b Kenneth Hvistendahl 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480591403321 996 $aNonlinear partial differential equations and hyperbolic wave phenomena$9766715 997 $aUNINA