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The Entropy Condition for Hyperbolic Conservation Laws
Michael Westdickenberg
Department of Mathematics
University of Bonn
Abstract
Since weak solutions of hyperbolic conservation laws may be nonunique,
typically an entropy condition is imposed in order to obtain uniqueness.
We discuss how the entropy condition implies regularity and structure of
solutions of scalar conservation laws. For the one-dimensional system of
isentropic Euler equations we show how the entropy condition gives
global existence of solutions with natural bounds.
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