A simpler proof of Vishik's nonuniqueness theorem for the forced 2D Euler equation is obtained by constructing an unstable vortex first as piecewise constant and then regularizing it via a fixed-point argument.
H¨ older.¨Uber die unbeschr¨ ankte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrenzten inkom- pressiblen Fl¨ ussigkeit.Math
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A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation
A simpler proof of Vishik's nonuniqueness theorem for the forced 2D Euler equation is obtained by constructing an unstable vortex first as piecewise constant and then regularizing it via a fixed-point argument.