Existence and uniqueness of solutions of the parabolic nonlinear compressibel Reynolds lubrication equation
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Publication:5925831
DOI10.1016/S0362-546X(99)00229-1zbMath0964.35083WikidataQ127027565 ScholiaQ127027565MaRDI QIDQ5925831
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Publication date: 2 July 2001
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
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Related Items (7)
Existence, uniqueness, and homogenization of the second order slip Reynolds equation. ⋮ Existence and uniqueness results for compressible Reynolds equation with slip boundary conditions ⋮ Analysis of a parabolic compressible first-order slip Reynolds equation with discontinuous coefficients ⋮ A duality method for the compressible Reynolds equation. application to simulation of read/write processes in magnetic storage devices ⋮ On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider ⋮ Existence and uniqueness for several nonlinear elliptic problems arising in lubrication theory ⋮ Analysis of nonlinear evolutional Reynolds model for air lubrication of magnetic hard disc via elliptic regularisation.
Cites Work
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- The transition between the Stokes equations and the Reynolds equation: A mathematical proof
- Quasilinear elliptic-parabolic differential equations
- Existence and Uniqueness of Solutions to the Compressible Reynolds Lubrication Equation
- Homogenization and two-scale convergence of the compressible Reynolds lubrication equation modelling the flying characteristics of a rough magnetic head over a rough rigid-disk surface
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