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Completely linear degeneracy for quasilinear hyperbolic systems. (English) Zbl 1406.35187
Summary: In this paper, we introduce a new concept of completely linear degeneracy for quasilinear hyperbolic systems in several space variables, and then get an interesting property for multidimensional hyperbolic conservation laws satisfying our new definition. For applications, we give some examples arising from mathematics and physics at last.
MSC:
35L60 First-order nonlinear hyperbolic equations
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