the fundamental solution of a conservation law without convexity

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The nonnegative fundamental solution of a scalar conservation law is constructed when its flux may have a finite number of inflection points. The constructed solution can be either explicit and implicit depending on the flux. This fundamental solution consists of a series of rarefaction waves, contact discontinuities and a shock. These analytically constructed fundamental solutions are also compared with numerical approximations, which possess the structure of the analytically constructed fundamental solution.
Publisher
BROWN UNIV
Issue Date
2015-12
Language
English
Article Type
Article
Citation

QUARTERLY OF APPLIED MATHEMATICS, v.73, no.4, pp.661 - 678

ISSN
0033-569X
DOI
10.1090/qam/1397
URI
http://hdl.handle.net/10203/208357
Appears in Collection
MA-Journal Papers(저널논문)
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