Stability of uniform temperature fields in linear heat conductors with memory

DOI10.1016/0020-7225(76)90025-2zbMath0345.73001OpenAlexW2042626939MaRDI QIDQ1233344

R. Ray Nachlinger, Jace W. Nunziato

Publication date: 1976

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(76)90025-2

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (4)

Existence, uniqueness, stability for a simple fluid with fading memory ⋮ A hereditary partial differential equation with applications in the theory of simple fluids ⋮ Semilinear integrodifferential equations in Banach space ⋮ An energy stability method for simple fluids

Cites Work

• On the linear theory of viscoelasticity
• Slow motion and viscometric motion; stability and bifurcation of the rest state of a simple fluid
• A general theory of heat conduction with finite wave speeds
• On the growth and decay of temperature rate waves of arbitrary form
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• Wave propagation aspects of the generalized theory of heat conduction
• On heat conduction in materials with memory
• A Note on Uniqueness in the Linear Theory of Heat Conduction with Finite Wave Speeds
• The Asymptotic Behavior of the Solution of a Volterra Equation

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