The reconstruction of an equation of visco-elasticity

Nonautonomous Dynamical Systems ◽

10.1515/msds-2018-0012 ◽

2018 ◽

Vol 5 (1) ◽

pp. 152-154 ◽

Author(s):

Amin Boumenir

Keyword(s):

Differential Equation ◽

Diffusion Constant ◽

Equation Modeling ◽

Source Terms ◽

Integro Differential Equation ◽

Differential Equation Modeling

AbstractWe are concerned with the reconstruction of two coefficients of an integro-differential equation modeling the deformation of materials with memory.We show that we can explicitly reconstruct the memory, the source terms and the diffusion constant from two observations only.

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WELL-POSEDNESS AND NUMERICAL SOLUTION OF A NONLINEAR VOLTERRA PARTIAL INTEGRO-DIFFERENTIAL EQUATION MODELING A SWELLING POROUS MATERIAL

Journal of Porous Media ◽

10.1615/jpormedia.v17.i9.20 ◽

2014 ◽

Vol 17 (9) ◽

pp. 763-784 ◽

Author(s):

Keith J. Wojciechowski ◽

Jinhai Chen ◽

Lynn Schreyer-Bennethum ◽

Kristian Sandberg

Keyword(s):

Differential Equation ◽

Porous Material ◽

Numerical Solution ◽

Equation Modeling ◽

Well Posedness ◽

Integro Differential Equation ◽

Differential Equation Modeling

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The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drp014 ◽

2009 ◽

Vol 30 (4) ◽

pp. 964-986 ◽

Author(s):

S. Larsson ◽

F. Saedpanah

Keyword(s):

Differential Equation ◽

Galerkin Method ◽

Fractional Order ◽

Equation Modeling ◽

Integro Differential Equation ◽

Continuous Galerkin ◽

Differential Equation Modeling

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ADAPTIVE DISCRETIZATION OF AN INTEGRO-DIFFERENTIAL EQUATION MODELING QUASI-STATIC FRACTIONAL ORDER VISCOELASTICITY

IFAC Proceedings Volumes ◽

10.3182/20060719-3-pt-4902.00067 ◽

2006 ◽

Vol 39 (11) ◽

pp. 397-401

Author(s):

Klas Adolfsson ◽

Mikael Enelund ◽

Stig Larsson

Keyword(s):

Differential Equation ◽

Fractional Order ◽

Equation Modeling ◽

Integro Differential Equation ◽

Adaptive Discretization ◽

Differential Equation Modeling

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Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.09.018 ◽

2015 ◽

Vol 283 ◽

pp. 196-209 ◽

Author(s):

Stig Larsson ◽

Milena Racheva ◽

Fardin Saedpanah

Keyword(s):

Differential Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Fractional Order ◽

Discontinuous Galerkin Method ◽

Equation Modeling ◽

Integro Differential Equation ◽

Differential Equation Modeling

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Space-time Discretization of an Integro-differential Equation Modeling Quasi-static Fractional-order Viscoelasticity

Journal of Vibration and Control ◽

10.1177/1077546307087399 ◽

2008 ◽

Vol 14 (9-10) ◽

pp. 1631-1649 ◽

Author(s):

K. Adolfsson ◽

M. Enelund ◽

S. Larsson

Keyword(s):

Differential Equation ◽

Fractional Order ◽

Time Discretization ◽

Equation Modeling ◽

Integro Differential Equation ◽

Differential Equation Modeling

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A semigroup approach to an integro-differential equation modeling slow erosion

Journal of Differential Equations ◽

10.1016/j.jde.2014.05.038 ◽

2014 ◽

Vol 257 (7) ◽

pp. 2360-2403 ◽

Author(s):

Alberto Bressan ◽

Wen Shen

Keyword(s):

Differential Equation ◽

Equation Modeling ◽

Integro Differential Equation ◽

Semigroup Approach ◽

Differential Equation Modeling

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Analysis and Numerical Approximation of an Integro-differential Equation Modeling Non-local Effects in Linear Elasticity

Mathematics and Mechanics of Solids ◽

10.1177/1081286505059748 ◽

2005 ◽

Vol 12 (4) ◽

pp. 363-384 ◽

Author(s):

Etienne Emmrich ◽

Olaf Weckner

Keyword(s):

Differential Equation ◽

Linear Elasticity ◽

Numerical Approximation ◽

Equation Modeling ◽

Local Effects ◽

Integro Differential Equation ◽

Non Local ◽

Differential Equation Modeling

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Differential Equation Modeling of HIV Viral Fitness Experiments: Model Identification, Model Selection, and Multimodel Inference

10.1111/j.1541-0420.2008.01059.x ◽

2008 ◽

Vol 65 (1) ◽

pp. 292-300 ◽

Author(s):

Hongyu Miao ◽

Carrie Dykes ◽

Lisa M. Demeter ◽

Hulin Wu

Keyword(s):

Differential Equation ◽

Model Selection ◽

Model Identification ◽

Viral Fitness ◽

Equation Modeling ◽

Multimodel Inference ◽

Differential Equation Modeling ◽

Identification Model

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Random fuzzy variable foundation for Grey differential equation modeling

Soft Computing ◽

10.1007/s00500-008-0301-4 ◽

2008 ◽

Vol 13 (2) ◽

pp. 185-201 ◽

Author(s):

R. Guo ◽

D. Guo

Keyword(s):

Differential Equation ◽

Fuzzy Variable ◽

Equation Modeling ◽

Random Fuzzy Variable ◽

Grey Differential Equation ◽

Differential Equation Modeling

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Oscillations and asymptotic convergence for a delay differential equation modeling platelet production

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018259 ◽

2019 ◽

Vol 24 (6) ◽

pp. 2417-2442

Author(s):

Loïs Boullu ◽

◽

Mostafa Adimy ◽

Fabien Crauste ◽

Laurent Pujo-Menjouet ◽

...

Keyword(s):

Differential Equation ◽

Delay Differential Equation ◽

Equation Modeling ◽

Asymptotic Convergence ◽

Platelet Production ◽

Differential Equation Modeling ◽

Delay Differential

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