Abstract
The regularization of discontinuities is discussed on the basis of molecular, computational and continuum considerations. Different regularization procedures may be implied by these distinct points of view. The mathematical motivation of regularization as an intermediate step in an existence proof is also of interest, but is not discussed in this paper.
Supported in part by the National Science Foundation, grant DMS - 8619856
Supported in part by the Applied 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 DAAG29-85-0188
Supported in part by the Air Force Office Office of Scientific Research AFSOR-88-0025.
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© 1989 Springer-Verlag
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Glimm, J. (1989). The continuous structure of discontinuities. In: Rascle, M., Serre, D., Slemrod, M. (eds) PDEs and Continuum Models of Phase Transitions. Lecture Notes in Physics, vol 344. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0024942
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DOI: https://doi.org/10.1007/BFb0024942
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