Uniform decay rates and asymptotic analysis of the von Kármán plate with nonlinear dissipation in the boundary moments

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00133-9 ◽

2000 ◽

Vol 42 (5) ◽

pp. 835-870 ◽

Author(s):

Guangcao Ji

Keyword(s):

Asymptotic Analysis ◽

Decay Rates ◽

Nonlinear Dissipation ◽

Uniform Decay ◽

Von Kármán Plate ◽

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Uniform decay rates for full von karman system of dynamic theromelasticity with free boundary conditions and partial boundary dissipation

Communications in Partial Differential Equations ◽

10.1080/03605309908821483 ◽

1999 ◽

Vol 24 (9-10) ◽

pp. 1801-1847 ◽

Author(s):

Irena Lasiecka

Keyword(s):

Free Boundary ◽

Boundary Conditions ◽

Decay Rates ◽

Uniform Decay ◽

Free Boundary Conditions ◽

Boundary Dissipation ◽

Von Kármán System ◽

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Wellposedness and Uniform Decay Rates of Weak Solutions to a von Kármán System with Nonlinear Dissipative Boundary Conditions

Optimal control of differential equations ◽

10.1201/9781003072225-10 ◽

2020 ◽

pp. 133-158

Author(s):

Mary Ann Horn ◽

Irena Lasiecka ◽

Daniel Tataru

Keyword(s):

Boundary Conditions ◽

Weak Solutions ◽

Decay Rates ◽

Uniform Decay ◽

Von Kármán System ◽

Dissipative Boundary ◽

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Uniform decay for a von Karman plate equation with a boundary memory condition

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.663 ◽

2005 ◽

Vol 28 (18) ◽

pp. 2225-2240 ◽

Author(s):

Jong Yeoul Park ◽

Sun Hye Park

Keyword(s):

Plate Equation ◽

Memory Condition ◽

Uniform Decay ◽

Von Kármán Plate ◽

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Uniform decay rates for nonlinear viscoelastic Marguerre–von Kármán equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.10.045 ◽

2009 ◽

Vol 351 (2) ◽

pp. 522-535 ◽

Author(s):

Fushan Li ◽

Yuzhen Bai

Keyword(s):

Decay Rates ◽

Uniform Decay ◽

Nonlinear Viscoelastic ◽

Von Kármán Equations ◽

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Global Decay Rates for the Solutions to a Von Kármán Plate without Geometric Conditions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1019 ◽

1994 ◽

Vol 181 (1) ◽

pp. 254-276 ◽

Author(s):

M.E. Bradley ◽

I. Lasiecka

Keyword(s):

Decay Rates ◽

Geometric Conditions ◽

Von Kármán Plate ◽

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ON A NONLOCAL FUNCTIONAL ARISING IN THE STUDY OF THIN-FILM BLISTERING

Analysis and Applications ◽

10.1142/s0219530510001540 ◽

2010 ◽

Vol 08 (02) ◽

pp. 109-123

Author(s):

N. ANSINI ◽

V. VALENTE

Keyword(s):

Thin Film ◽

Asymptotic Analysis ◽

Circular Plate ◽

One Dimensional ◽

Nonlocal Functional ◽

Γ Convergence ◽

The energy of a Von Kármán circular plate is described by a nonlocal nonconvex one-dimensional functional depending on the thickness ε. Here we perform the asymptotic analysis via Γ-convergence as the parameter ε goes to zero.

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Asymptotic Behavior and the Existence of Finite-Dimensional Attractors for von Karman Plate Equations with Boundary Damping

Boundary Control and Variation ◽

10.1201/9781482277685-20 ◽

1994 ◽

pp. 289-310

Keyword(s):

Asymptotic Behavior ◽

Boundary Damping ◽

Finite Dimensional ◽

Plate Equations ◽

Von Kármán Plate ◽

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Dynamics of a thermoelastic von Kármán plate in a subsonic gas flow

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-006-0080-7 ◽

2006 ◽

Vol 58 (2) ◽

pp. 246-261 ◽

Author(s):

Iryna Ryzhkova

Keyword(s):

Gas Flow ◽

Von Kármán Plate ◽

Von Kármán ◽

Subsonic Gas Flow

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Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity

Nonlinear Analysis ◽

10.1016/j.na.2013.06.008 ◽

2013 ◽

Vol 91 ◽

pp. 72-92 ◽

Author(s):

Pelin G. Geredeli ◽

Irena Lasiecka

Keyword(s):

Asymptotic Analysis ◽

Upper Semicontinuity ◽

Rotational Inertia ◽

Critical Nonlinearity ◽

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Analytic approximations of Von Kármán plate under arbitrary uniform pressure—equations in integral form

Science China Physics Mechanics and Astronomy ◽

10.1007/s11433-017-9096-1 ◽

2017 ◽

Vol 61 (1) ◽

Author(s):

XiaoXu Zhong ◽

ShiJun Liao

Keyword(s):

Integral Form ◽

Uniform Pressure ◽

Analytic Approximations ◽

Von Kármán Plate ◽

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