Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources
type: Item
instance of: scholarly article
title: Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources
zbMATH Open document ID: 1379.35187
author: Pei Pei
author: Mohammad Rammaha
author: Daniel Toundykov
published in: Applied Mathematics and Optimization
publication date: 2017-11-17T00:00:00Z
Mathematics Subject Classification ID: 35L53
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6808432
zbMATH Keywords: energy identity
zbMATH Keywords: boundary damping
zbMATH Keywords: boundary source
zbMATH Keywords: interplay of damping and source
MaRDI profile type: Publication
full work available at URL: s00245-016-9357-1
OpenAlex ID: W2344077782
cites work: Q5318420
cites work: Systems of nonlinear wave equations with damping and source terms.
cites work: Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate
cites work: Q3910929
cites work: Analysis and control of nonlinear infinite dimensional systems
cites work: Q3165399
cites work: Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping
cites work: Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping
cites work: Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping
cites work: On a wave equation with supercritical interior and boundary sources and damping terms
cites work: ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
cites work: Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits
cites work: On the stability of Mindlin–Timoshenko plates
cites work: Existence of a solution of the wave equation with nonlinear damping and source terms
cites work: The longtime behavior of a nonlinear Reissner-Mindlin plate with exponentially decreasing memory kernels
cites work: On a structural acoustic model with interface a Reissner--Mindlin plate or a Timoshenko beam
cites work: On a fluid-structure model in which the dynamics of the structure involves the shear stress due to the fluid
cites work: On a structural acoustic model which incorporates shear and thermal effects in the structural component
cites work: Strong stabilization of models incorporating the thermoelastic Reissner–Mindlin plate equations with second sound
cites work: On the dissipative effect of a magnetic field in a Mindlin-Timoshenko plate model
cites work: The role of magnetic fields in the strong stabilization of a hybrid magneto-elastic structure
cites work: Polynomial decay rate of a thermoelastic Mindlin-Timoshenko plate model with Dirichlet boundary conditions
cites work: Systems of nonlinear wave equations with damping and supercritical boundary and interior sources
cites work: Q4407522
cites work: Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
cites work: Q5569338
cites work: Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
cites work: Q4954010
cites work: Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation
cites work: Q5634306
cites work: Thickness-Shear and Flexural Vibrations of Crystal Plates
cites work: The Reissner-Mindlin plate theory via \(\Gamma\)-convergence
cites work: A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
cites work: Q5448013
cites work: Q5448029
cites work: Global well-posedness and stability of semilinear Mindlin-Timoshenko system
cites work: Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations
cites work: Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms
cites work: Q5845521
cites work: Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model
cites work: Existence for a nonlinear wave equation with damping and source terms.
cites work: Q4332942
cites work: Q5822938
cites work: Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
DOI: 10.1007/S00245-016-9357-1
description: scientific article; zbMATH DE number 6808432