Existence, uniqueness and exponential decay: An evolution problem in heat conduction with memory

DOI10.1090/S0033-569X-2011-01223-1zbMath1230.80005MaRDI QIDQ3104437

Sandra Carillo

Publication date: 19 December 2011

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessheat conductorintegro-differential problemmemory conductor

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Thermal effects in solid mechanics (74F05)

Related Items (4)

On a fractional reaction-diffusion equation ⋮ Regular and singular kernel problems in magneto-viscoelasticity ⋮ Viscoelastic fluids: free energies, differential problems and asymptotic behaviour ⋮ Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• On thermodynamics and the stability of motions of material with memory
• Partial differential equations in action. From modelling to theory
• A general theory of heat conduction with finite wave speeds
• Extending a theorem of A. M. Liapunov to Hilbert space
• Constitutive equations for thermomechanical materials with memory
• Thermal work and minimum free energy in a heat conductor with memory
• Some Remarks on Materials with Memory: Heat Conduction and Viscoelasticity

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