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Nonlinear PDE’s, Dynamics and Continuum Physics
 
Edited by: Jerry Bona University of Texas, Austin, Austin, TX
Katarzyna Saxton Loyola University, New Orleans, LA
Ralph Saxton University of New Orleans, New Orleans, LA
Front Cover for Nonlinear PDE's, Dynamics and Continuum Physics
Available Formats:
Softcover ISBN: 978-0-8218-1052-1
Product Code: CONM/255
List Price: $84.00
MAA Member Price: $75.60
AMS Member Price: $67.20
Electronic ISBN: 978-0-8218-7845-3
Product Code: CONM/255.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $63.20
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $126.00
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AMS Member Price: $100.80
Front Cover for Nonlinear PDE's, Dynamics and Continuum Physics
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  • Front Cover for Nonlinear PDE's, Dynamics and Continuum Physics
  • Back Cover for Nonlinear PDE's, Dynamics and Continuum Physics
Nonlinear PDE’s, Dynamics and Continuum Physics
Edited by: Jerry Bona University of Texas, Austin, Austin, TX
Katarzyna Saxton Loyola University, New Orleans, LA
Ralph Saxton University of New Orleans, New Orleans, LA
Available Formats:
Softcover ISBN:  978-0-8218-1052-1
Product Code:  CONM/255
List Price: $84.00
MAA Member Price: $75.60
AMS Member Price: $67.20
Electronic ISBN:  978-0-8218-7845-3
Product Code:  CONM/255.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $63.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2552000; 256 pp
    MSC: Primary 34; 35; 37; 47; 74; 76; 81;

    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.

    Readership

    Graduate students and researchers interested in partial differential equations and applied mathematics.

  • Table of Contents
     
     
    • Articles
    • Hongqiu Chen - Travelling-waves for generalized KDV-Burgers equations [ MR 1752498 ]
    • S. Roy Choudhury - Some analytical coherent structures of the long-wave equations [ MR 1752499 ]
    • Włodzimierz Domański - Weakly nonlinear elastic plane waves in a cubic crystal [ MR 1752500 ]
    • Michael L. Frankel and Victor Roytburd - On dynamics of exothermic interfaces [ MR 1752501 ]
    • Pierre-Alain Gremaud, John V. Matthews and Michael Shearer - Similarity solutions for granular flows in hoppers [ MR 1752502 ]
    • Thomas Hagen and Michael Renardy - Stability issues in nonisothermal elongational flow [ MR 1752503 ]
    • Ling Hsiao and Ronghua Pan - The damped $p$-system with boundary effects [ MR 1752504 ]
    • Barbara Lee Keyfitz and Claudia A. Mora - Prototypes for nonstrict hyperbolicity in conservation laws [ MR 1752505 ]
    • Satyanad Kichenassamy - Stability of blow-up patterns for nonlinear wave equations [ MR 1752506 ]
    • M. Kovalyov - Slowly decaying solutions of KdV [ MR 1752507 ]
    • Igor Rodnianski - Fractal solutions of the Schrödinger equation [ MR 1752508 ]
    • Jalal Shatah and Walter Strauss - Spectral condition for instability [ MR 1752509 ]
    • Alexander Tovbis - On approximation of stable and unstable manifolds and the Stokes phenomenon [ MR 1752510 ]
    • Stephen J. Watson - A priori bounds in one-dimensional nonlinear thermoviscoelasticity [ MR 1752511 ]
    • Robin Young - Periodic solutions to conservation laws [ MR 1752512 ]
  • Request Review Copy
  • Get Permissions
Volume: 2552000; 256 pp
MSC: Primary 34; 35; 37; 47; 74; 76; 81;

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.

Readership

Graduate students and researchers interested in partial differential equations and applied mathematics.

  • Articles
  • Hongqiu Chen - Travelling-waves for generalized KDV-Burgers equations [ MR 1752498 ]
  • S. Roy Choudhury - Some analytical coherent structures of the long-wave equations [ MR 1752499 ]
  • Włodzimierz Domański - Weakly nonlinear elastic plane waves in a cubic crystal [ MR 1752500 ]
  • Michael L. Frankel and Victor Roytburd - On dynamics of exothermic interfaces [ MR 1752501 ]
  • Pierre-Alain Gremaud, John V. Matthews and Michael Shearer - Similarity solutions for granular flows in hoppers [ MR 1752502 ]
  • Thomas Hagen and Michael Renardy - Stability issues in nonisothermal elongational flow [ MR 1752503 ]
  • Ling Hsiao and Ronghua Pan - The damped $p$-system with boundary effects [ MR 1752504 ]
  • Barbara Lee Keyfitz and Claudia A. Mora - Prototypes for nonstrict hyperbolicity in conservation laws [ MR 1752505 ]
  • Satyanad Kichenassamy - Stability of blow-up patterns for nonlinear wave equations [ MR 1752506 ]
  • M. Kovalyov - Slowly decaying solutions of KdV [ MR 1752507 ]
  • Igor Rodnianski - Fractal solutions of the Schrödinger equation [ MR 1752508 ]
  • Jalal Shatah and Walter Strauss - Spectral condition for instability [ MR 1752509 ]
  • Alexander Tovbis - On approximation of stable and unstable manifolds and the Stokes phenomenon [ MR 1752510 ]
  • Stephen J. Watson - A priori bounds in one-dimensional nonlinear thermoviscoelasticity [ MR 1752511 ]
  • Robin Young - Periodic solutions to conservation laws [ MR 1752512 ]
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