Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity

DOI10.1016/j.wavemoti.2010.06.001zbMath1231.45019OpenAlexW2058620495MaRDI QIDQ661846

Małgorzata Seredyńska, Andrzej Hanyga

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2010.06.001

zbMATH Keywords

relaxationviscoelasticitycompletely monotone functionpartial integro-differential equationsNewtonian viscositycomplete Bernstein function

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Linear constitutive equations for materials with memory (74D05) Integro-partial differential equations (35R09)

Related Items (1)

Energy dissipation for hereditary and energy conservation for non-local fractional wave equations

Cites Work

• On a mathematical framework for the constitutive equations of anisotropic dielectric relaxation
• Positive elementary solutions and completely monotonic functions
• Relations between relaxation modulus and creep compliance in anisotropic linear viscoelasticity
• AN ANISOTROPIC COLE–COLE MODEL OF SEISMIC ATTENUATION
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Dynamics of porous saturated media, checking of the generalized law of Darcy
• Completely monotonic functions
• Cones of material response functions in one-dimensional and anisotropic linear viscoelasticity
• What is the Laplace Transform?
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