On the Cauchy problem for the generalized Boussinesq equation with a damped term
From MaRDI portal
Publication:6597927
DOI10.1007/s10473-024-0508-1MaRDI QIDQ6597927
Publication date: 4 September 2024
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Initial value problems for higher-order hyperbolic equations (35L30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
- Global existence and blow up for damped generalized Boussinesq equation
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations
- Asymptotic behavior of solutions for initial-boundary value problems for strongly damped nonlinear wave equations
- The Cauchy problem for the Rosenau equation
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Saddle points and instability of nonlinear hyperbolic equations
- Decay and scattering of small solutions of a generalized Boussinesq equation
- The Cauchy problem for the dissipative Boussinesq equation
- On the Cauchy problem for the damped Boussinesq equation
- On spatially periodic solutions of the damped Boussinesq equation
- The Cauchy problem for the nonlinear viscous Boussinesq equation in the \(L^q\) framework
- Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity
- Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
- Inviscid limit for the damped Boussinesq equation
- Decay estimates for a dissipative-dispersive linear semigroup and application to the viscous Boussinesq equation
- Improved blow-up of solutions of a generalized Boussinesq equation
- Asymptotic decay estimate of solutions to the generalized damped Bq equation
- Global existence and pointwise estimates of solutions for the multidimensional generalized Boussinesq-type equation
- On global solution of nonlinear hyperbolic equations
- Global existence and exponential growth of solution for the logarithmic Boussinesq-type equation
- Optimal decay rates and small global solutions to the dissipative Boussinesq equation
- Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
- Existence and Uniqueness of a Solution to the Cauchy Problem for the Damped Boussinesq Equation
- Nonlinear Wave Equations
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- Well-posedness and Scattering for the Generalized Boussinesq Equation
- Global existence and nonexistence of the initial-boundary value problem for the dissipative Boussinesq equation
This page was built for publication: On the Cauchy problem for the generalized Boussinesq equation with a damped term