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.
Ill-posedness for the full euler system driven by multiplicative white noise
FEIREISL E.;FLANDOLI F.
2021
Abstract
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.File in questo prodotto:
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Chiodaroli Feireisl Flandoli.pdf
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11384_110168_preprint.pdf
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