Abstract
The basic concepts appropriate for anS matrix theory for classical nonlinear physics are formulated here. These concepts are illustrated by a discussion of shock wave diffraction patterns. Other information concerning solutions of non-linear conservation laws is surveyed, so that a coherent picture of this theory can be seen. Within thisS matrix framework, a number of open problems as well as a few solved ones will be discussed.
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Dedicated to John A. Wheeler on the occasion of his 75th birthday.
Supported in part by the National Science Foundation, grant DMS-831229.
Supported in part by the Aplied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy, under contract DE-AC02-76ER03077.
Supported in part by the Army Research Office, grant DAAG29-83-K-0007.
Work supported by the U.S. Department of Energy.
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Glimm, J., Sharp, D.H. AnS matrix theory for classical nonlinear physics. Found Phys 16, 125–141 (1986). https://doi.org/10.1007/BF01889377
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DOI: https://doi.org/10.1007/BF01889377