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Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity by Andrzej Hanyga; Małgorzata Seredyńska is a Engineering article available to read on EtoBox.
What is Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity about?
Positivity of Green's functions is established for a class of linear partial integro-differential equations in d ≤ 3 space dimensions with Volterra kernels satisfying appropriate conditions. In particular it is assumed that the Volterra kernel is completely monotone. This class includes the equations of motion of scalar hereditary viscoelasticity along with the extreme cases of elasticity and Newtonian viscosity. The positivity of Green's functions is also established under a less restrictive assumption. Positivity results are extended to a class of systems of partial integro-differential equations with completely monotone matrix-valued Volterra kernels. Positivity for longitudinal and transverse modes of 3D isotropic viscoelasticity is also established. Weaker results are obtained for higher space dimensions.
Who reads Positivity of Green's functions for a class of partial integro-differential equations including viscoelasticity?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Andrzej Hanyga; Małgorzata Seredyńska
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0165-2125)
- Published
- 2010
- Language
- EN
- Field
- Engineering (Physical Sciences)