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Jump phenomenaThe paper considers jump phenomena composed of large amplitude responses of nonlinear systems caused by small amplitude disturbances. Physical problems where large jumps in the solution amplitude are important features of the response are described, including snap buckling of elastic shells, chemical reactions leading to combustion and explosion, and long-term climatic changes of the earth's atmosphere. A new method of rational functions was then developed which consists of representing the solutions of the jump problems as rational functions of the small disturbance parameter; this method can solve jump problems explicitly.
Document ID
19800066150
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Reiss, E. L.
(Northwestern University Evanston, Ill., United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1980
Subject Category
Physics (General)
Meeting Information
Meeting: Nonlinear partial differential equations in engineering and applied science
Location: Kingston, RI
Start Date: June 4, 1979
End Date: June 8, 1979
Accession Number
80A50320
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-80-0016
CONTRACT_GRANT: NAS1-14717
Distribution Limits
Public
Copyright
Other

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