A differential problem for heat equation with a boundary condition with memory

DOI10.1016/S0893-9659(96)00118-8zbMath0890.73005WikidataQ115338640 ScholiaQ115338640MaRDI QIDQ1370439

Michele Ciarletta

Publication date: 1 July 1998

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

existencesecond law of thermodynamicsuniquenessasymptotic stabilitydissipation effectsrelaxation function

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Thermodynamics in solid mechanics (74A15)

Related Items (7)

Stabilization of an elastic plate with viscoelastic boundary conditions ⋮ Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary. ⋮ Global existence of solutions of a semilinear heat equation with nonlinear memory condition ⋮ A boundary condition with memory in elasticity ⋮ Blow-up rate for the heat equation with a memory boundary condition ⋮ Global solvability for the heat equation with boundary flux governed by nonlinear memory ⋮ Stability and well posedness for a dissipative boundary condition with memory in electromagnetism

Cites Work

• Unnamed Item
• Unnamed Item
• A boundary condition with memory in electromagnetism
• A general theory of heat conduction with finite wave speeds
• On uniqueness in linear viscoelasticity: a family of counterexamples

This page was built for publication: A differential problem for heat equation with a boundary condition with memory