Stability estimates of solutions to extremal problems for a nonlinear convection-diffusion-reaction equation

DOI10.1134/S1990478916020010zbMath1349.80028MaRDI QIDQ3186919

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Publication date: 12 August 2016

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

solvabilityoptimal control problemmixed problemoptimality systemstability estimatenonlinear convection-diffusion-reaction equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (14)

Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates ⋮ Analysis of the Boundary Value and Control Problems for Nonlinear Reaction–Diffusion–Convection Equation ⋮ Unnamed Item ⋮ Stability of solutions of control problems for the convection-diffusion-reaction equation with a strong nonlinearity ⋮ Inverse coefficient problems for a non-linear convection-diffusion-reaction equation ⋮ Boundary control problem for a nonlinear convection-diffusion-reaction equation ⋮ Inverse problems for the diffusion-drift model of charging of an inhomogeneous polar dielectric ⋮ Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition ⋮ Boundary control problems for nonlinear reaction-diffusion-convection model ⋮ Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation ⋮ Inverse extremum problem for a model of endovenous laser ablation ⋮ Boundary and extremum problems for the nonlinear reaction-diffusion-convection equation under the Dirichlet condition ⋮ Boundary value and extremum problems for generalized Oberbeck-Boussinesq model ⋮ Theoretical analysis and numerical implementation of a stationary diffusion-drift model of polar dielectric charging

Cites Work

• Identification problems for a steady-state model of mass transfer
• Optimal boundary control of a system describing thermal convection
• Theoretical analysis of inverse extremal problems of admixture diffusion in viscous fluids
• Stability estimates in identification problems for the convection-diffusion-reaction equation
• Estimation of the convection coefficient in elliptic equations
• Study and solution of identification problems for nonstationary 2D and 3D convection–diffusion equations
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