On the non-existence of semi-groups for some equations of continuum mechanics

DOI10.1017/S0308210500012208zbMath0454.73014MaRDI QIDQ3902603

N. S. Wilkes

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

applied to linear dissipative equationsexistence of semi-group in any reasonable spacepositiv semi-definite elastic tensor as necessary conditionresults can be extended to linear viscoelasticity and linear thermoelasticity

Mathematics Subject Classification ID

Elastic materials (74B99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (2)

Uniqueness and exponential instability in a new two-temperature thermoelastic theory ⋮ Existence of weak solutions to linear indefinite systems of differential equations

Cites Work

• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
• Continuous Dependence and Instability in Linear Thermoelasticity

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