Convergence of solutions of von Karman evolution equations to equilibria

DOI10.1080/00036811.2011.577930zbMath1253.35177OpenAlexW2029698037WikidataQ58256518 ScholiaQ58256518MaRDI QIDQ3167665

Igor D. Chueshov

Publication date: 2 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.577930

zbMATH Keywords

nonlinear dissipationvon Karman evolution equationsLojasiewicz-Simon inequalitystabilization to equilibrium

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Decay rates to equilibrium for nonlinear plate equations with degenerate, geometrically-constrained damping ⋮ Variational analysis of semilinear plate equation with free boundary conditions

Cites Work

• Convergence of global and bounded solutions of the wave equation with nonlinear dissipation and analytic nonlinearity
• Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Plate models with state-dependent damping coefficient and their quasi-static limits
• Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity
• Von Karman Evolution Equations
• APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS
• Finite Dimensionality of the Attractor for a Semilinear Wave Equation with Nonlinear Boundary Dissipation

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