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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
Nonlinear PDE's, Dynamics and Continuum Physics
Softcover ISBN:  978-0-8218-1052-1
Product Code:  CONM/255
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7845-3
Product Code:  CONM/255.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1052-1
eBook: ISBN:  978-0-8218-7845-3
Product Code:  CONM/255.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Nonlinear PDE's, Dynamics and Continuum Physics
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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
Softcover ISBN:  978-0-8218-1052-1
Product Code:  CONM/255
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7845-3
Product Code:  CONM/255.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1052-1
eBook ISBN:  978-0-8218-7845-3
Product Code:  CONM/255.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.