Study of a model for the equations of inserted elastic string in a thermal environment

DOI10.1016/J.NA.2004.06.001zbMath1063.35037OpenAlexW2056974661MaRDI QIDQ1887990

Frederico de O. Matias, Joaquim R. Feitosa, Milton de Lacerda Oliveira

Publication date: 22 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.06.001

zbMATH Keywords

heat equationNeumann boundary conditionsKirchhoff equationstrong dampingExponential decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55) Strings (74K05)

Cites Work

• On the decay of solutions for some nonlinear evolution equations of second order
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