The optimal polynomial decay in the extensible Timoshenko system
DOI10.1002/MANA.202300331MaRDI QIDQ6648890
Publication date: 5 December 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
exponential stabilitywell-posednessstrong stabilityoptimal polynomial decayextensible thermoelastic Timoshenko beam
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Friction in solid mechanics (74M10) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
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- Long-time dynamics of an extensible plate equation with thermal memory
- Modeling and steady state analysis of the extensible thermoelastic beam
- A nonlinear Timoshenko beam formulation based on the modified couple stress theory
- A dynamic thermoviscoelastic contact problem with the second sound effect
- On the propagation of thermoelastic disturbances in thin plates and rods
- Optimal polynomial decay of functions and operator semigroups
- Energy decay rate of the thermoelastic Bresse system
- Global attractors for the extensible thermoelastic beam system
- Semigroups of linear operators and applications to partial differential equations
- Elastic materials with couple-stresses
- Energy decay for Timoshenko systems of memory type.
- Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
- Couple stress based strain gradient theory for elasticity
- Decay of the Timoshenko beam with thermal effect and memory boundary conditions
- Memory relaxation of type III thermoelastic extensible beams and Berger plates
- Thermoelastic vibrations of a Timoshenko microbeam based on the modified couple stress theory
- New decay results for a viscoelastic-type Timoshenko system with infinite memory
- Mathematical modeling of MEMS elements subjected to external forces, temperature and noise, taking account of coupling of temperature and deformation fields as well as a nonhomogenous material structure
- Stability to 1-D thermoelastic Timoshenko beam acting on shear force
- Asymptotic stability of thermoelastic systems of Bresse type
- Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams
- Timoshenko systems with indefinite damping
- A short course on operator semigroups
- Nonlocal polar elastic continua
- Internal friction in solids. II. General theory of thermoelastic internal friction.
- Effects of couple-stresses in linear elasticity
- A nonlinear transmission problem for a compound plate with thermoelastic part
- Tauberian Theorems and Stability of One-Parameter Semigroups
- Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III
- Strong stability of nonlinear semigroups with weak dissipation and non-compact resolvent–applications to structural acoustics
- Stability of Timoshenko systems with thermal coupling on the bending moment
- On the extensible viscoelastic beam
- Stability analysis in extensible thermoelastic beam with microtemperatures
- Hölder continuity of exponential pullback attractors for form II Mindlin's strain gradient viscoelastic plate
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