Global stability for damped Timoshenko systems

By J. E. Muñoz Rivera, Reinhard Racke. 2003

225 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/281d54c3b45894d3b8fc8b748062c3465d1aa36d

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In Applied Mathematics

In Control and Systems Engineering

In Mathematical Physics

Citations in the corpus

Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation (2010, methodology): “A similar decay structure of the regularity-loss type was also observed for the dissipative Timoshenko system ([14, 25]) and a hyperbolic-elliptic system related to a radiating gas ([13]).”
DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC-ELLIPTIC SYSTEM (2006, background): “4) was observed in [3] and [1] for the dissipative Timoshenko system.”
Energy decay in a Timoshenko-type system of thermoelasticity of type III with different wave-propagation speeds (2013, background): “[13], Fernández Sare and Rivera [4], Messaoudi and Said-Houari [16], Rivera and Racke [18,19] and Mustafa and Messaoudi [20].”
On the stabilization of the Timoshenko system by a weak nonlinear dissipation (2009, background): “This result has been extended by Muñoz Rivera and Racke [11] for the damping function b=b(x) possibly changes sign, and for a nonlinear system in [12].”
Bresse system with infinite memories (2015, methodology): “1) can be negligible [6], and the lack of exponential decay to the first and second equations was assured by Muñoz Rivera and Racke [7] using boundary conditions of type Dirichlet–Neumann.”
Energy decay in a Timoshenko-type system of thermoelasticity of type III with different wave-propagation speeds (2008, unknown): “For Timenshinko systems in classical thermoelasticity, Rivera and Racke [13] considered ρ1ϕtt − σ(ϕx,ψ)x = 0 in (0,∞)× (0, L) ρ2ψtt − bψxx + k (ϕx + ψ) + γθx = 0 in (0,∞)× (0, L) ρ3θt − kθxx + γψtx = 0 in (0,∞)× (0, L) , (1.5) where ϕ,ψ, and θ are functions of (x, t) which model the transverse displ”
Timoshenko systems with indefinite damping (2008, background): “This corresponds to a previously discussed constant damping in one equation, cp. [20] [15].”