Consider an n × n system of hyperbolic balance laws with coinciding shock and rarefaction curves. This note proves the well-posedness in the large of this system, provided there exists a domain that is invariant both with respect to the homogeneous conservation law and to the ordinary differential system generated by the right-hand side. No “non-resonance” hypothesis is assumed.
On a Class of Hyperbolic Balance Laws
COLOMBO, Rinaldo Mario;
2004-01-01
Abstract
Consider an n × n system of hyperbolic balance laws with coinciding shock and rarefaction curves. This note proves the well-posedness in the large of this system, provided there exists a domain that is invariant both with respect to the homogeneous conservation law and to the ordinary differential system generated by the right-hand side. No “non-resonance” hypothesis is assumed.File in questo prodotto:
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