Identification of two memory kernels in a fully hyperbolic phase-field system

DOI10.1515/JIIP.2008.010zbMath1160.35072OpenAlexW1986058462MaRDI QIDQ3516726

Alfredo Lorenzi, Elisabetta Rocca

Publication date: 11 August 2008

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2008.010

zbMATH Keywords

integro-differential systemsidentification problemsexistence and uniqueness resultsconvolution hyperbolic phase-field modelsrecovering memory kernels

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Inverse problems for PDEs (35R30) Second-order nonlinear hyperbolic equations (35L70) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (8)

Existence and uniqueness of an inverse source problem for a fractional integrodifferential equation ⋮ Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory ⋮ Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem ⋮ Existence and uniqueness of an inverse memory kernel for an integro-differential parabolic equation with free boundary ⋮ A global in time existence and uniqueness result for an integrodifferential hyperbolic inverse problem with memory effect ⋮ Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect ⋮ On the well-posedness of determination of two coefficients in a fractional integrodifferential equation ⋮ A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids

Cites Work

• Weak solutions for the fully hyperbolic phase-field system of conserved type
• An analysis of a phase field model of a free boundary
• Well-posedness results for phase field systems with memory effects in the order parameter dynamics
• A general theory of heat conduction with finite wave speeds
• Phase Field Equations with Memory: The Hyperbolic Case
• Uniform attractors for a phase-field model with memory and quadratic nonlinearity
• An identification problem for a conserved phase-field model with memory
• Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase‐field model
• Direct and inverse problems for a phase-field model with memory
• Hyperbolic phase-field dynamics with memory

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