Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources
From MaRDI portal
Publication:1678510
DOI10.1007/s00245-016-9357-1zbMath1379.35187OpenAlexW2344077782MaRDI QIDQ1678510
Daniel Toundykov, Pei Pei, Mohammad A. Rammaha
Publication date: 17 November 2017
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-016-9357-1
Plates (74K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Related Items
Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems, The well-posedness and regularity of a rotating blades equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping
- Global well-posedness and stability of semilinear Mindlin-Timoshenko system
- Systems of nonlinear wave equations with damping and source terms.
- Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate
- The Reissner-Mindlin plate theory via \(\Gamma\)-convergence
- Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation
- The longtime behavior of a nonlinear Reissner-Mindlin plate with exponentially decreasing memory kernels
- Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits
- Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping
- Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping
- On a fluid-structure model in which the dynamics of the structure involves the shear stress due to the fluid
- Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Existence for a nonlinear wave equation with damping and source terms.
- Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- Analysis and control of nonlinear infinite dimensional systems
- On the dissipative effect of a magnetic field in a Mindlin-Timoshenko plate model
- Polynomial decay rate of a thermoelastic Mindlin-Timoshenko plate model with Dirichlet boundary conditions
- Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations
- On a structural acoustic model which incorporates shear and thermal effects in the structural component
- On a structural acoustic model with interface a Reissner--Mindlin plate or a Timoshenko beam
- Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms
- Strong stabilization of models incorporating the thermoelastic Reissner–Mindlin plate equations with second sound
- On a wave equation with supercritical interior and boundary sources and damping terms
- The role of magnetic fields in the strong stabilization of a hybrid magneto-elastic structure
- A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
- Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model
- On the stability of Mindlin–Timoshenko plates
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- Systems of nonlinear wave equations with damping and supercritical boundary and interior sources
- Thickness-Shear and Flexural Vibrations of Crystal Plates
