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Nonlinear PDE's, dynamics, and continuum physics : 1998 AMS-IMS-SIAM Joint Summer Research Conference on Nonlinear PDE's, Dynamics, and Continuum Physics, July 19-23, 1998, Mount Holyoke College / Jerry Bona, Katarzyna Saxton, Ralph Saxton, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- AMS-IMS-SIAM Joint Summer Research Conference on Nonlinear PDE's, Dynamics, and Continuum Physics (1998 : Mount Holyoke College), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; 255.
- Contemporary mathematics, 0271-4132 ; 255
- Language:
- English
- Subjects (All):
- Differential equations, Nonlinear--Congresses.
- Differential equations, Nonlinear.
- Dynamics--Congresses.
- Dynamics.
- Continuum mechanics--Congresses.
- Continuum mechanics.
- Physical Description:
- 1 online resource (270 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2000]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Travelling-waves for generalized KdV-Burgers equations""; ""Some analytical coherent structures of the long-wave equations""; ""Weakly nonlinear elastic plane waves in a cubic crystal""; ""On dynamics of exothermic interfaces""; ""Similarity solutions for granular flows in hoppers""; ""Stability issues in nonisothermal elongational flow""; ""The damped p-system with boundary effects""; ""Prototypes for nonstrict hyperbolicity in conservation laws""; ""Stability of blow-up patterns for nonlinear wave equations""; ""Slowly decaying solutions of KdV""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7845-X
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