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math.AP2017
On a non-periodic modified Euler equation: existence and quasi-invariant measures
Ana Bela Cruzeiro, Alexandra Symeonides
We consider a modified Euler equation on . We prove existence of weak global solutions for bounded (and fast decreasing at infinity) initial conditions and construct G…
math.AP2016★ 1 cited
Invariant measures for the non-periodic two-dimensional Euler equation
Ana Bela Cruzeiro, Alexandra Symeonides
We construct Gaussian invariant measures for the two-dimensional Euler equation on the plane. We show the existence of solution with initial conditions in the support of the measur…