Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term
From MaRDI portal
Publication:1996141
DOI10.1016/j.jmaa.2020.124848zbMath1462.35343OpenAlexW3112101271MaRDI QIDQ1996141
Publication date: 3 March 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124848
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (3)
Massera's theorems for a higher order dispersive system ⋮ Control results with overdetermination condition for higher order dispersive system ⋮ Two stability results for the Kawahara equation with a time-delayed boundary control
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness and I method for the fifth order Korteweg-de Vries equation
- Weak solutions to initial-boundary-value problems for quasilinear evolution equations of an odd order
- Boundary smoothing properties of the Kawahara equation posed on the finite domain
- The Kawahara equation on bounded intervals and on a half-line
- Ill-posedness of Kawahara equation and Kaup-Kupershmidt equation
- Local well-posedness for Kawahara equation
- Energy decay for the modified Kawahara equation posed in a bounded domain
- Lax pairs and higher order models for water waves
- Stabilization of a Boussinesq system of KdV-KdV type
- On the Cauchy problem for higher-order nonlinear dispersive equations
- Kawahara equation in a bounded domain
- On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map
- Low regularity solutions of two fifth-order KdV type equations
- On the controllability of the fifth-order Korteweg-de Vries equation
- Semigroups of linear operators and applications to partial differential equations
- Local well-posedness for the KdV hierarchy at high regularity
- Initial boundary value problem of the Hamiltonian fifth-order KdV equation on a bounded domain
- On the wellposedness of the KdV/KdV2 equations and their frequency maps
- Strichartz estimates for dispersive equations and solvability of the Kawahara equation
- Non-homogeneous boundary value problems of the fifth-order KdV equations on a bounded interval
- Global well-posedness for the Kawahara equation with low regularity
- Initial boundary value problem for Korteweg-de Vries equation: a review and open problems
- KdV is well-posed in \(H^{-1}\)
- On the Cauchy problem for the strong dissipative fifth-order KdV equations
- Global existence of solutions for the Kawahara equation in Sobolev spaces of negative indices
- Rough solutions of the fifth-order KdV equations
- Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
- Interpolation non linéaire et régularité
- Well-Posedness for the Fifth Order KdV Equation
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity
- Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
- A General Theory for Interactions Between Short and Long Waves
- Higher-Order Nonlinear Dispersive Equations
- A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
- Stabilization of the Korteweg-de Vries equation with localized damping
- Well-posedness for the fifth-order KdV equation in the energy space
- Hamiltonian long‐wave expansions for free surfaces and interfaces
- A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation
This page was built for publication: Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term
