Ill-posedness for the full euler system driven by multiplicative white noise
Elisabetta Chiodaroli, Eduard Feireisl, Franco Flandoli
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.
Topics & Concepts
MathematicsMultiplicative functionWhite noiseEuler's formulaMultiplicative noiseEuler methodApplied mathematicsNoise (video)Mathematical analysisStatisticsComputer scienceArtificial intelligenceTelecommunicationsTransmission (telecommunications)Image (mathematics)Signal transfer functionAnalog signalNavier-Stokes equation solutionsAdvanced Mathematical Physics ProblemsFluid Dynamics and Turbulent Flows