On thermodynamic conditions for the stability of evolving systems

DOI10.1007/BF00281360zbMath0159.56106OpenAlexW2013722491MaRDI QIDQ2528622

Victor J. Mizel, Bernard D. Coleman

Publication date: 1968

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281360

zbMATH Keywords

mechanics of solids

Related Items

On thermodynamics and the stability of motions of material with memory, The scientific work of Bernard D. Coleman, Application of variational methods in chemical thermodynamics: a study of the stability of chemical systems, The energy criterion for stability in continuum thermodynamics, On fading memory spaces and hereditary integral equations, Asymptotic stability in linear thermoviscoelasticity, On the stability of certain motions of incompressible materials with memory, On the stability of solutions of functional-differential equations, On the thermodynamics of materials with memory, On the stability of equilibrium states of general fluids, Exponential stability for a class of functional differential equations

Cites Work

• Unnamed Item
• An approximation theorem for functionals, with applications in continuum mechanics
• The principle of fading memory
• Sufficient conditions for stability and instability of autonomous functional-differential equations
• Norms and semi-groups in the theory of fading memory
• Thermodynamics and the stability of fluid motion
• Stability of general systems
• Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves
• Foundations of Linear Viscoelasticity
• A STABILITY THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS