Energy decay for the modified Kawahara equation posed in a bounded domain
From MaRDI portal
Publication:641636
DOI10.1016/j.jmaa.2011.07.003zbMath1270.35094OpenAlexW2003007441MaRDI QIDQ641636
Publication date: 24 October 2011
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.2011.07.003
Related Items
Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method, Lipschitz stability of an inverse problem for the Kawahara equation with damping, Higher-order stationary dispersive equations on bounded intervals, Solitary wave solutions with non-monotone shapes for the modified Kawahara equation, On the control issues for higher-order nonlinear dispersive equations on the circle, Unnamed Item, Dynamic stability of the Kawahara equation under the effect of a boundary finite memory, Control and stabilization of the periodic fifth order Korteweg-de Vries equation, Massera's theorems for a higher order dispersive system, Construction of soliton solutions for modified Kawahara equation arising in shallow water waves using novel techniques, Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping, Control of Kawahara equation with overdetermination condition: The unbounded cases, Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation, Decay of regular solutions for the critical 2D Zakharov–Kuznetsov equation posed on rectangles, New Approach to Identifying Solitary Wave Solutions of Modified Kawahara Equation, Control results with overdetermination condition for higher order dispersive system, Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term, Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces, Initial-boundary value problems for generalized dispersive equations of higher orders posed on bounded intervals, Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation, Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals, Exact boundary controllability of a microbeam model, On the initial-boundary-value problem in a half-strip for a generalized Kawahara equation, On initial-boundary value problem on semiaxis for generalized Kawahara equation, Two stability results for the Kawahara equation with a time-delayed boundary control, Exponential decay for a locally damped fifth-order equation posed on the line
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical comparison of a Kawahara equation
- Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Structural stability of the Korteweg-de Vries solitons under a singular perturbation
- Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method
- New solitary wave solutions to the modified Kawahara equation
- Kawahara equation in a bounded domain
- Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
- Solitary wave solution for the generalized Kawahara equation
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Unique continuation for some evolution equations
- New exact travelling wave solutions for the Kawahara and modified Kawahara equations
- Exact boundary controllability of a nonlinear KdV equation with critical lengths
- On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval
- Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation
- Doubly periodic solutions of the modified Kawahara equation
- Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
- Stabilization of the Kawahara equation with localized damping
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
- Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
- Exact Controllability of a Nonlinear Korteweg–de Vries Equation on a Critical Spatial Domain
- Stabilization of the linear Kawahara equation with localized damping
- Axially Symmetric Stagnation-point Flow of an Electrically Conducting Fluid under Transverse Magnetic Field
- Solitary and Periodic Solutions of Nonlinear Nonintegrable 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
- Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
- Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations
- An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method