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Spectral invariants of the Stokes problem
Liu, Genqian...

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Spectral invariants of the Stokes problem by Liu, Genqian ( Author )
Lemonjar Open Access
N.A
16-10-2014
For a given bounded domain Ω⊂Rn with smooth boundary, we explicitly calculate the first two coefficients of the asymptotic expansion of the heat trace associated with the Stokes operator as t→0+. These coefficients (i.e., heat invariants) provide precise information for the volume of the domain Ω and the surface area of the boundary ∂Ω in terms of the spectrum of the Stokes problem. As an application, we show that an n-dimensional ball is uniquely defined by its Stokes spectrum among all Euclidean bounded domains with smooth boundary.
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Article
pdf
36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1410.4279
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