On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider

DOI10.1051/cocv:2004029zbMath1101.49004OpenAlexW2018476019MaRDI QIDQ3365390

Mohamed El Alaoui Talibi, Mohammed Jai, Ionel Sorin Ciuperca

Publication date: 23 January 2006

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2005__11_1_102_0

zbMATH Keywords

necessary optimality conditionsquasilinear elliptic equationcoefficient controlexistence of an optimal control

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Boundary value problems for second-order elliptic equations (35J25) Lubrication theory (76D08) Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

About an inverse problem for a free boundary compressible problem in hydrodynamic lubrication ⋮ On the optimization of surface textures for lubricated contacts ⋮ Analysis of a parabolic compressible first-order slip Reynolds equation with discontinuous coefficients ⋮ Equilibrium analysis for a mass-conserving model in presence of cavitation ⋮ Optimal control in matrix-valued coefficients for nonlinear monotone problems: optimality conditions. I ⋮ Optimization of the blood pressure with the control in coefficients ⋮ Optimality conditions for semilinear parabolic equations with controls in leading term ⋮ Existence and uniqueness for several nonlinear elliptic problems arising in lubrication theory

Cites Work

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• Regularity of solutions to a lubrication problem with discontinuous separation data.
• Existence and Uniqueness of Solutions to the Compressible Reynolds Lubrication Equation
• Optimization of Self-Acting Gas Bearings for Maximum Static Stiffness
• Existence and uniqueness of solutions of the parabolic nonlinear compressibel Reynolds lubrication equation

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