Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
DOI10.1098/rsta.2019.0295zbMath1462.74173arXiv1912.00510OpenAlexW3023609433WikidataQ94599002 ScholiaQ94599002MaRDI QIDQ4994616
Dusan Zorica, Ljubica Oparnica
Publication date: 20 June 2021
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.00510
mechanicsmaterials sciencemathematical physicsfractional wave equationapplied mathematicswave motionenergy dissipation and conservationhereditary and non-local fractional constitutive equations
PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Applications of fractional calculus in solid mechanics (74S40)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal order finite element approximation for a hyperbolic integro-differential equation
- Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods
- Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity
- Waves in fractional Zener type viscoelastic media
- Exponential energy decay of solutions of viscoelastic wave equations
- Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
- On a distributed derivative model of a viscoelastic body
- Generalized wave equation in nonlocal elasticity
- Wave propagation in linear viscoelastic media with completely monotonic relaxation moduli
- Optimization problems for elastic contact models with unilateral constraints
- Formulation of thermodynamically consistent fractional Burgers models
- Fractional Burgers models in creep and stress relaxation tests
- Well-posedness of the fractional Zener wave equation for heterogeneous viscoelastic materials
- On transient waves in linear viscoelasticity
- Fractional Burgers wave equation
- On weak regularity requirements of the relaxation modulus in viscoelasticity
- Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation
- A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem
- Singular kernel problems in materials with memory
- Asymptotic estimates of viscoelastic Green’s functions near the wavefront
- Dispersion and Attenuation for an Acoustic Wave Equation Consistent with Viscoelasticity
- Waves in viscoelastic media described by a linear fractional model
- Solvability and microlocal analysis of the fractional Eringen wave equation
- Attenuation of waves in a viscoelastic peridynamic medium
- From non-local Eringen’s model to fractional elasticity
- Space–time fractional Zener wave equation
- Waves with Power-Law Attenuation
- Fractional Calculus With Applications in Mechanics
This page was built for publication: Energy dissipation for hereditary and energy conservation for non-local fractional wave equations