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Lieb-Thirring inequalities on the torus

We consider the Lieb-Thirring inequalities on the d-dimensional torus with arbitrary periods. In the space of functions with zero average with respect to the shortest coordinate we prove the Lieb-Thirring inequalities for the $γ$-moments of the negative eigenvalues with constants independent of ratio of the periods. Applications to the attractors of the damped Navier-Stokes system are given.

preprint2015arXivOpen access
Alexei IlyinAri Laptev
math.APmath.SP
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Alexei IlyinAri Laptev

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