A nonlinear transmission problem for a compound plate with thermoelastic part

DOI10.1002/mma.1589zbMath1237.35153arXiv1003.3332OpenAlexW2056073181MaRDI QIDQ2882436

Mykhailo Potomkin

Publication date: 4 May 2012

Published in: IFIP Advances in Information and Communication Technology, Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3332

zbMATH Keywords

global attractorlong-time behaviorattractorasymptoticsmoothnesstransmission problemthermoelastic plates

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

A criterion of collective behavior of bacteria ⋮ Existence of the global attractor for the plate equation with nonlocal nonlinearity in \(\mathbb{R}^{n}\) ⋮ Stability analysis in extensible thermoelastic beam with microtemperatures ⋮ Global attractors for a full von Karman beam transmission problem ⋮ Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin–Pipkin’s model ⋮ A unique continuation result for the plate equation and an application ⋮ Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system ⋮ Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping
• Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent
• Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations
• Asymptotic behavior of thermoviscoelastic Berger plate
• Global attractors for the extensible thermoelastic beam system
• Attractors and long-time behavior of von Kármán thermoelastic plates
• Semigroups of linear operators and applications to partial differential equations
• Global attractors for von Karman evolutions with a nonlinear boundary dissipation.
• Attractors for second-order evolution equations with a nonlinear damping
• Global attractors for von Kármán equations with nonlinear interior dissipation
• About asymptotic behavior for a transmission problem in hyperbolic thermoelasticity
• Von Karman Evolution Equations
• Exponential Stability of a Thermoelastic System with Free Boundary Conditions without Mechanical Dissipation
• Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity
• A transmission problem for thermoelastic plates
• Finite-dimensional attractor for a composite system of wave/plate equations with localized damping

This page was built for publication: A nonlinear transmission problem for a compound plate with thermoelastic part