Ill posedness for the full Euler system driven by multiplicative white noise
Analysis of PDEs
2019-04-18 v1
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.
Keywords
Cite
@article{arxiv.1904.07977,
title = {Ill posedness for the full Euler system driven by multiplicative white noise},
author = {Elisabetta Chiodaroli and Eduard Feireisl and Franco Flandoli},
journal= {arXiv preprint arXiv:1904.07977},
year = {2019}
}