Long-time asymptotic expansion for the damped semilinear wave equation.

DOI10.1016/S0022-247X(02)00499-7zbMath1106.35317OpenAlexW2068715511MaRDI QIDQ1857018

Vladimir V. Varlamov

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00499-7

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (3)

Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping ⋮ Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms ⋮ The exponential decay of a system of nonlinear wave equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors for damped nonlinear hyperbolic equations
• Linearization and normal form of the Navier-Stokes equations with potential forces
• Stable and unstable manifolds for the nonlinear wave equation with dissipation
• Finite dimensional exponential attractors for semilinear wave equations with damping
• Scaling variables and asymptotic expansions in damped wave equations
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Stability of travelling waves for a damped hyperbolic equation
• Long-time behavior and convergence for semilinear wave equations on \(\mathbb{R}^ N\)
• A singular perturbed problem for semilinear wave equations with small parameter
• Long-time asymptotics for the nonlinear heat equation with a fractional Laplacian in a ball
• Nonlinear initial-boundary value problems
• Nonlinear Heat Equation with a Fractional Laplacian in a Disk
• On the quasilinear wave equation: utt − Δu + f(u, ut) = 0 associated with a mixed nonhomogeneous condition
• On weak solutions for an evolution equation with exponential nonlinearities
• On the dynamics of semilinear damped wave equations on
• Finite energy travelling waves for nonlinear damped wave equations
• A fois-saut type of expansion for dissipative wave equations
• On the Kuramoto-Sivashinsky equation in a disk
• Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
• Mixed problem for some semi-linear wave equation with a nonhomogeneous condition
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Local well posedness for strongly damped wave equations with critical nonlinearities
• On a nonlinear evolution equation and its applications
• Critical exponent for a nonlinear wave equation with damping
• On the spatially two-dimensional Boussinesq equation in a circular domain
• Eigenfunction expansion method and the long-time asymptotics for the damped Boussinesq equation

This page was built for publication: Long-time asymptotic expansion for the damped semilinear wave equation.