Existence and uniqueness for nonlinear Reynolds equations (Q579082)
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scientific article; zbMATH DE number 4014331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness for nonlinear Reynolds equations |
scientific article; zbMATH DE number 4014331 |
Statements
Existence and uniqueness for nonlinear Reynolds equations (English)
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1986
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The pressure distribution in a gas-lubricated bearing is given by the nonlinear Reynolds equation with the boundary value problem \(\nabla \cdot (H^ 3P\nabla P)=\Lambda (HP)_ x\) in \(\Omega\), \(P=G\) on \(\partial \Omega\). Various results of existence and uniqueness for this equation are presented. Furthermore the system of nonlinear equations arising when elastic deformation of the bearing surfaces is not neglected is discussed.
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a priori bound
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pressure distribution
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gas-lubricated bearing
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nonlinear Reynolds equation
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boundary value problem
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existence
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uniqueness
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elastic deformation
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