Stability of viscoelastic channel wall (Q2701710)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of viscoelastic channel wall |
scientific article |
Statements
19 February 2001
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fluid solid interaction
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viscoelastic wall
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linear stability analysis
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ideal incompressible gas
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three-dimensional channel
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Lyapunov stability
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Volterra-Voigt constitutive equation
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Stability of viscoelastic channel wall (English)
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The authors consider the motion of ideal incompressible gas in a three-dimensional channel of rectangular cross-section. One of the channel walls is viscoelastic, and the pressure is given in channel input and output regions. The investigation of stability is carried out in a linear statement corresponding to small perturbations of homogeneous gas flow and small deflections of the viscoelastic channel wall. The authors use Lyapunov stability concept for dynamical systems, and describe the mechanical behaviour of material by the Volterra-Voigt constitutive equation.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00026].
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