scientific article; zbMATH DE number 7489089

DOI10.5666/KMJ.2021.61.4.859zbMath1485.35057MaRDI QIDQ5061805

Nguyen Thanh Long, Le Huu Ky Son, Le Thi Phuong Ngoc

Publication date: 14 March 2022

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

blow-upexponential decaynonlinear Kirchhoff-Carrier wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability of topological dynamical systems (37B25) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

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• Existence, blow-up and exponential decay for a nonlinear Love equation associated with Dirichlet conditions.
• On a nonlinear wave equation with boundary conditions of two-point type
• Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
• On a nonlinear wave equation involving the term \(-\frac{\partial}{\partial x}(u(x,t,u,\|u_x\|^2)u_x)\): linear approximation and asymptotic expansion of solution in many small parameters
• On some nonlinear perturbation of Kirchhoff-Carrier operator
• Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary
• Small vertical vibrations of strings with moving ends
• Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term
• Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions
• Global regular solutions for the nonhomogeneous carrier equation
• Local solutions for a nonlinear degenerate Hyperbolic equation
• Existence and boundary stabilization of solutions for the kirchhoff equation
• Blow up and global existence in a nonlinear viscoelastic wave equation
• GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
• Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
• Existence and Exponential Decay of Solutions for a Wave Equation with Integral Nonlocal Boundary Conditions of Memory Type
• On the non-linear vibration problem of the elastic string
• Existence, blow-up and exponential decay estimates for the nonlinear Kirchhoff-Carrier wave equation in an annular with nonhomogeneous Dirichlet conditions
• Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
• Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator

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