Develops local classical solution theory for stochastic Euler equations with pseudo-differential Stratonovich/Itô and Marcus noise and establishes a criterion for invariant probability measures that resolves Shirikyan's open problem in the damped incompressible case across dimensions.
Feireisl.Dynamics of viscous compressible fluids, volume 26 ofOxford Lecture Series in Mathematics and its Applications
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Stochastic Euler Equations with Pseudo-differential Noise: Continuous and Discontinuous Perturbations in Compressible and Incompressible Flows
Develops local classical solution theory for stochastic Euler equations with pseudo-differential Stratonovich/Itô and Marcus noise and establishes a criterion for invariant probability measures that resolves Shirikyan's open problem in the damped incompressible case across dimensions.