Constraint Induced Restriction and Extension Operators With Applications

CHEN Bo; LI Xiao-wei; LIU Gao-lian

doi:10.3879/j.issn.1000-0887.2009.11.001

Volume 30 Issue 11

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CHEN Bo, LI Xiao-wei, LIU Gao-lian. Constraint Induced Restriction and Extension Operators With Applications[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1261-1267. doi: 10.3879/j.issn.1000-0887.2009.11.001

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Constraint Induced Restriction and Extension Operators With Applications

doi: 10.3879/j.issn.1000-0887.2009.11.001

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 2009-04-29
Rev Recd Date: 2009-09-25
Publish Date: 2009-11-15

Abstract

Abstract

The Stokes operator is a differential-integral operator induced by the Stokes equations. From the point of view of the Helm holtzminimum dissipation principle the Stokes operator was analyzed. It's shown that, th rough the Hodge orthogonal decomposition, a pair of bounded linear operators, namely, a restriction operator and an extension operator, are induced from the divergence-free constraint. As a consequence of the observation, it's utilized to calculate the eigenvalues of the Stokes operator.
- the Stokes operator,
- induced operators,
- restriction and extension,
- variational method,
- Hodge decomposition

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References(10)

References

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