Well posedness and exponential stability of a porous elastic system free of second spectrum

DOI10.1007/s10440-024-00661-2zbMATH Open1542.35045MaRDI QIDQ6564749

Afaf Ahmima, Messaoudi A. Salim, Abdelfeteh Fareh

Publication date: 1 July 2024

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

well-posednessexponential decaysecond spectrumporous elasticityelliptic-hyperbolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Thermal effects in solid mechanics (74F05) Exponential stability (93D23)

Cites Work

• Unnamed Item
• On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency
• Functional analysis, Sobolev spaces and partial differential equations
• Global stability for damped Timoshenko systems
• Slow decay for one-dimensional porous dissipation elasticity
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• Thermoelastic Timoshenko system free of second spectrum
• Energy decay for damped shear beam model and new facts related to the classical Timoshenko system
• A new exponential decay result for one-dimensional porous dissipation elasticity from second spectrum viewpoint
• Rates of decay for porous elastic system weakly dissipative
• Exponential decay in one-dimensional porous dissipation elasticity
• THE EFFECTS OF SHEAR FLEXIBILITY AND ROTATORY INERTIA ON THE BENDING VIBRATIONS OF BEAMS

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