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Ill posedness for the full Euler system driven by multiplicative white noise

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arxiv 1904.07977 v1 pith:FDJSBALH submitted 2019-04-16 math.AP

Elisabetta Chiodaroli , Eduard Feireisl , Franco Flandoli This is my paper · ORCID
classification math.AP
keywords noisedriveneulermultiplicativesolutionssystemwhiteadapted
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We consider the Euler system describing the motion of a compressible fluid driven by a multiplicative white noise. We identify a large class of initial data for which the problem is ill posed - there exist infinitely many global in time weak solutions. The solutions are adapted to the noise and satisfy the entropy admissibility criterion.

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