Euler-Lagrangian approach to stochastic Euler equations in Sobolev Spaces
Abstract
We study a Lagragian formulation (following [1], [2] and [3] ) of the incompressible Euler equations on a domain Td . The Euler equations with transport noise model the flow of an incompressible inviscid fluid and are (classically) formulated in terms of a divergence–free vector field u (i.e. ∇ · u = 0) as follows: X dut + (ut · ∇ut + ∇pt )dt + L∗σk ut ◦ dWtk = 0 k [...]
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References
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