Gevrey Class of Locally Dissipative Euler--Bernoulli Beam Equation
DOI10.1137/20M1312800zbMath1467.35077OpenAlexW3172694856MaRDI QIDQ4994994
Zhuangyi Liu, G. Gómez Ávalos, Jaime Edilberto Muñoz Rivera
Publication date: 22 June 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1312800
exponential stabilitythermoviscoelasticityviscoelasticity\(C_0\)-semigroupKelvin-Voigt dampingparabolic-hyperbolic system
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Thermal effects in solid mechanics (74F05) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)
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