LEADER 03986nam 2200577 450 001 9910788633103321 005 20220823042133.0 010 $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(RPAM)16198616 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 $aContemporary mathematics,$v526$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-4976-X 320 $aIncludes bibliographical references. 327 $aContents -- Preface -- A hyperbolic model of granular flow -- 1. The model of granular flow -- 2. Global smooth solutions -- 3. Global existence of large BV solutions -- 4. Global BV solutions of an initial boundary value problem -- 5. Slow erosion limit -- References -- Hilbertian approaches to some non-linear conservation laws -- On the asymptotic behavior of the gradient flow of a polyconvex functional -- On degenerate partial differential equations -- Symmetric solutions to multi-dimensional conservation laws -- Product estimates for wave-Sobolev spaces in 2 + 1 and 1 + 1 dimensions -- 1. Introduction -- 2. Notation and preliminaries -- 3. The case b0 = b1 = 0 < b2 -- 4. The case b0 = 0 < b1, b2 in 2d -- 5. The case 0 < b0, b1, b2 in 2d -- 6. The case b0 < 0 < b1, b2 in 2d -- 7. The product law in 1d -- References -- On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data -- Asymptotic analysis in thermodynamics of viscous fluids -- 1. Introduction -- 2. Mathematical theory of fluid dynamics -- 3. Long-time behavior -- 4. Scale analysis -- References -- Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation -- Instability of solitary waves for a nonlinearly dispersive equation -- Kinetic relations for under-compressive shock waves. Physical, mathematical,and numerical issues -- Global regularity, and wave breaking phenomena in a class of non-local-dispersive equations -- Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws -- A local and low-order Navier-Stokes-Korteweg system -- Local existence for viscous system of conservation laws: Hs-data with s > 1 + d/2 -- Finite difference methods for discretizing singular source terms in a Poisson interface problem. 410 0$aContemporary mathematics (American Mathematical Society).$v526$x0271-4132 606 $aDifferential equations, Nonlinear$vCongresses 606 $aDifferential equations, Hyperbolic$vCongresses 606 $aDifferential equations, Partial$vCongresses 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 $a9910788633103321 996 $aNonlinear partial differential equations and hyperbolic wave phenomena$9766715 997 $aUNINA