Dissipative Euler Flows and Onsager’s Conjecture
نویسنده
چکیده
Building upon the techniques introduced in [12], for any θ < 1 10 we construct periodic weak solutions of the incompressible Euler equations which dissipate the total kinetic energy and are Höldercontinuous with exponent θ. A famous conjecture of Onsager states the existence of such dissipative solutions with any Hölder exponent θ < 1 3 . Our theorem is the first result in this direction.
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