Identification of the relaxation kernel in diffusion processes and viscoelasticity with memory via deconvolution

DOI10.1002/mma.4180zbMath1404.74205arXiv1603.04321OpenAlexW2298114241MaRDI QIDQ2988698

Luciano Pandolfi

Publication date: 19 May 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04321

zbMATH Keywords

identificationdeconvolutionrelaxation kerneldiffusion processes with memory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) System identification (93B30) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear constitutive equations for materials with memory (74D05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory ⋮ Inverse problems for the heat equation with memory ⋮ A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements ⋮ Inverse Problems for Mathematical Models of Quasistationary Electromagnetic Waves in Anisotropic Nonmetallic Media with Dispersion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A basis theory primer.
• Riesz systems and moment method in the study of viscoelasticity in one space dimension
• Riesz systems, spectral controllability and a source identification problem for heat equations with memory
• Coupled vehicle-skin models for drug release
• A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements
• Erratum to: ``Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
• Sharp control time for viscoelastic bodies
• A general theory of heat conduction with finite wave speeds
• Distributed Systems with Persistent Memory
• Reconstruction of a bounded variation convolution kernel in an abstract wave equation
• Thermodynamics of Materials with Memory
• Thermodynamic properties and stability for the heat flux equation with linear memory
• A linear algorithm for the identification of a relaxation kernel using two boundary measures
• Regularized inversion of finitely smoothing Volterra operators: predictor - corrector regularization methods
• A Singular Perturbation Approach to a Recursive Deconvolution Problem
• A recursive algorithm for the approximate solution of Volterra integral equations of the first kind of convolution type