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catalog abstract ""This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up, well-posedness and regularity, and fractal solutions." "The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics."--Jacket.".
catalog contributor b11632759.
catalog contributor b11632760.
catalog contributor b11632761.
catalog contributor b11632762.
catalog created "2000.".
catalog date "2000".
catalog date "2000.".
catalog dateCopyrighted "2000.".
catalog description ""This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up, well-posedness and regularity, and fractal solutions." "The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics."--Jacket.".
catalog description "Includes bibliographical references.".
catalog description "Travelling-waves for generalized KdV-Burgers equations / H. Chen 1 -- Some analytical coherent structures of the long-wave equations / S.R. Choudhury 25 -- Weakly nonlinear elastic plane waves in a cubic crystal / W. Domanski 45 -- On dynamics of exothermic interfaces / M.L. Frankel, V. Roytburd 63 -- Similarity solutions for granular flows in hoppers / P.-A. Gremaud, J.V. Matthews, M. Shearer 79 -- Stability issues in nonisothermal elongational flow / T. Hagen, M. Renardy 97 -- Damped p-system with boundary effects / L. Hsiao, R. Pan 109 -- Prototypes for nonstrict hyperbolicity in conservation laws / B.L. Keyfitz, C.A. Mora 125 -- Stability of blow-up patterns for nonlinear wave equations / S. Kichenassamy 139 -- Slowly decaying solutions of KdV / M. Kovalyov 163 -- Fractal solutions of the Schrodinger equation / I. Rodnianski 181 -- Spectral condition for abstract instability / J. Shatah, W. Strauss 189 -- On approximation of stable and unstable manifolds and the Stokes phenomenon / A. Tovbis 199 -- A priori bounds in one-dimensional nonlinear thermoviscoelasticity / S.J. Watson 229 -- Periodic solutions to conservation laws / R. Young 239.".
catalog extent "ix, 256 p. :".
catalog identifier "0821810529 (alk. paper)".
catalog isPartOf "Contemporary mathematics (American Mathematical Society) ; v. 255.".
catalog isPartOf "Contemporary mathematics, 0271-4132 ; 255".
catalog issued "2000".
catalog issued "2000.".
catalog language "eng".
catalog publisher "Providence, R.I. : American Mathematical Society,".
catalog subject "515/.355 21".
catalog subject "Continuum mechanics Congresses.".
catalog subject "Differential equations, Nonlinear Congresses.".
catalog subject "Dynamics Congresses.".
catalog subject "QA377 .A569 1998".
catalog tableOfContents "Travelling-waves for generalized KdV-Burgers equations / H. Chen 1 -- Some analytical coherent structures of the long-wave equations / S.R. Choudhury 25 -- Weakly nonlinear elastic plane waves in a cubic crystal / W. Domanski 45 -- On dynamics of exothermic interfaces / M.L. Frankel, V. Roytburd 63 -- Similarity solutions for granular flows in hoppers / P.-A. Gremaud, J.V. Matthews, M. Shearer 79 -- Stability issues in nonisothermal elongational flow / T. Hagen, M. Renardy 97 -- Damped p-system with boundary effects / L. Hsiao, R. Pan 109 -- Prototypes for nonstrict hyperbolicity in conservation laws / B.L. Keyfitz, C.A. Mora 125 -- Stability of blow-up patterns for nonlinear wave equations / S. Kichenassamy 139 -- Slowly decaying solutions of KdV / M. Kovalyov 163 -- Fractal solutions of the Schrodinger equation / I. Rodnianski 181 -- Spectral condition for abstract instability / J. Shatah, W. Strauss 189 -- On approximation of stable and unstable manifolds and the Stokes phenomenon / A. Tovbis 199 -- A priori bounds in one-dimensional nonlinear thermoviscoelasticity / S.J. Watson 229 -- Periodic solutions to conservation laws / R. Young 239.".
catalog title "Nonlinear PDE's, dynamics, and continuum physics : 1998 AMS-IMS-SIAM Joint Summer Research Conference on Nonlinear PDE's, Dynamics, and Continuum Physics / Jerry Bona, Katarzyna Saxton, Ralph Saxton, editors.".
catalog type "Conference proceedings. fast".
catalog type "South Hadley (Mass., 1998) swd".
catalog type "text".