Robust Exponential Attractors for Coleman--Gurtin Equations with Dynamic Boundary Conditions Possessing Memory

zbMath1336.35078arXiv1602.01275MaRDI QIDQ2794416

Joseph L. Shomberg

Publication date: 10 March 2016

Full work available at URL: https://arxiv.org/abs/1602.01275

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zbMATH Keywords

robustnessglobal attractorbasin of attractionmemory relaxationfinite dimensional dynamicssingularly perturbed memory kernel

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Integro-partial differential equations (45K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09)

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Weak exponential attractors for Coleman-Gurtin equations with dynamic boundary conditions possessing different memory kernels ⋮ Continuous dependence on a parameter of exponential attractors for nonclassical diffusion equations

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