Weak-strong Uniqueness for Measure-valued Solutions
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چکیده
We prove the weak-strong uniqueness for measure-valued solutions of the incompressible Euler equations. These were introduced by R.DiPerna and A.Majda in their landmark paper [10], where in particular global existence to any L initial data was proven. Whether measure-valued solutions agree with classical solutions if the latter exist has apparently remained open. We also show that DiPerna’s measure-valued solutions to systems of conservation laws have the weak-strong uniqueness property.
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تاریخ انتشار 2009