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Thermo-visco-elasticity at small strains with L1-data
- 1.0325629 - ÚT 2010 RIV US eng J - Journal Article
Roubíček, Tomáš
Thermo-visco-elasticity at small strains with L1-data.
Quarterly of Applied Mathematics. Roč. 67, č. 1 (2009), s. 47-71. ISSN 0033-569X. E-ISSN 1552-4485
R&D Projects: GA MŠMT(CZ) 1M06031
Institutional research plan: CEZ:AV0Z20760514
Keywords : thermoviscoelasticity * kelvin-Voigt materials * very weak solutions
Subject RIV: BA - General Mathematics
Impact factor: 0.958, year: 2009
Existence of a very weak solution to the d-dimensional thermo-visco-elasticity system for Kelvin-Voigt-type material at small strains involving (possibly nonlinear) monotone viscosity of a p-Laplacian type and temperature-dependent heat capacity is proved by a successive passage to a limit in a suitably regularized Galerkin approximation and sophisticated a-priori estimates for the temperature gradient performed for the coupled system.
Permanent Link: http://hdl.handle.net/11104/0172975
Number of the records: 1