Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivashinsky equation

DOI10.1016/j.jmaa.2020.124747zbMath1465.49004OpenAlexW3097599097MaRDI QIDQ1995894

Yanyan Li

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124747

zbMATH Keywords

inverse problemKuramoto-Sivashinsky equationnonlinear PDE optimization

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Existence theories for optimal control problems involving partial differential equations (49J20) Inverse problems in optimal control (49N45)

Related Items (2)

Convergence rate analysis of the coefficient identification problems in a Kuramoto–Sivashinsky equation ⋮ Non-homogeneous boundary value problems for some KdV-type equations on a finite interval: a numerical approach

Uses Software

• L-BFGS-B
• L-BFGS
• DOLFIN
• FEniCS
• LBFGS-B
• UFL

Cites Work

• Unnamed Item
• Identification of an unknown coefficient in KdV equation from final time measurement
• An inverse problem for the KdV equation with Neumann boundary measured data
• Automated solution of differential equations by the finite element method. The FEniCS book
• A new global Carleman estimate for the one-dimensional Kuramoto-Sivashinsky equation and applications to exact controllability to the trajectories and an inverse problem
• Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto-Sivashinsky type equation
• Automating the finite element method
• Lipschitz stability in an inverse problem for the Kuramoto–Sivashinsky equation
• Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs
• DOLFIN
• Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms
• Identification of an unknown source term in a vibrating cantilevered beam from final overdetermination
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Algorithm 778: L-BFGS-B
• A Limited Memory Algorithm for Bound Constrained Optimization
• Semi-convergence properties of Kaczmarz’s method
• Unified form language
• Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation

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