Structure of the fundamental solution of a nonconvex conservation law
classification
🧮 math.AP
keywords
conservationfundamentalnonconvexsolutionstructureassumptioncharacteristicclassified
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The structure of a signed fundamental solution of a conservation law is studied without the convexity assumption. The types of shocks and rarefaction waves are classified together with their interactions. A comprehensive picture of a global dynamics of a nonconvex flux is discussed in terms of characteristic maps and dynamical convex-concave envelopes.
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