Dissipative Euler Flows with Onsager-Critical Spatial Regularity
نویسندگان
چکیده
منابع مشابه
Continuous dissipative Euler flows and a conjecture of Onsager
It is known since the pioneering works of Scheffer and Shnirelman that there are nontrivial distributional solutions to the Euler equations which are compactly supported in space and time. Obviously these solutions do not respect the classical conservation law for the total kinetic energy and they are therefore very irregular. In recent joint works we have proved the existence of continuous and...
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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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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2015
ISSN: 0010-3640
DOI: 10.1002/cpa.21586