Structural stability and decay estimate for marine riser equations

DOI10.1016/J.MCM.2011.08.014zbMath1235.35199OpenAlexW2088744840MaRDI QIDQ410074

J. Herrera, H. S. Yoon

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.014

zbMATH Keywords

structural stabilitycontinuous dependencemarine riser equation

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Strong solutions to PDEs (35D35) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (5)

Continuous dependence of semilinear Petrovsky equation ⋮ Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation ⋮ Continuous dependence of solutions to the strongly damped nonlinear Klein{Gordon equation ⋮ Continuous dependence of solutions to double dispersive equation with dissipative term ⋮ A further study on the coupled Allen-Cahn/Cahn-Hilliard equations

Cites Work

• Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder
• Global asymptotic stability of solutions to nonlinear marine riser equation
• Decay and stability for nonlinear hyperbolic equations
• On continuous dependence on coefficients of the Brinkman-Forchheimer equations
• Convergence and continuous dependence for the Brinkman-Forchheimer equations
• Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow
• An Extended Liapunov Approach to the Stability Assessment of Marine Risers
• The Long‐Time Behavior of Solutions of a Nonlinear Fourth Order Wave Equation, Describing the Dynamics of Marine Risers
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Stability and Wave Motion in Porous Media

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