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The global classical solution to compressible Euler system with velocity alignment

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arxiv 1912.01374 v1 pith:URQCRPF2 submitted 2019-12-03 math.AP

The global classical solution to compressible Euler system with velocity alignment

classification math.AP
keywords alignmentsystemvelocitycompressibleeulerglobalsolutionclassical
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In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound speed is used to reformulate the system into symmetric hyperbolic type. The global existence and uniqueness of smooth solution for small initial data is provided.

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