Initial-boundary value problems for generalized dispersive equations of higher orders posed on bounded intervals

DOI10.1007/s00245-019-09579-wzbMath1462.35145OpenAlexW2944515070WikidataQ127942171 ScholiaQ127942171MaRDI QIDQ2020321

J. Luchesi, Nickolai A. Larkin

Publication date: 23 April 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09579-w

zbMATH Keywords

global solutionsexponential decaybounded domainshigher-order dispersive equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (6)

Modified Zakharov-Kuznetsov equation posed on a half-strip ⋮ Modified Zakharov–Kuznetsov equation posed on a strip ⋮ Decay of regular solutions for the critical 2D Zakharov–Kuznetsov equation posed on rectangles ⋮ Supercritical Zakharov-Kuznetsov equation posed on bounded rectangles ⋮ Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals ⋮ Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory

Cites Work

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• Decay properties for solutions of fifth order nonlinear dispersive equations
• The Kawahara equation on bounded intervals and on a half-line
• Energy decay for the modified Kawahara equation posed in a bounded domain
• Mixed problem for the Kawahara equation in a half-strip
• Correct initial boundary value problems for dispersive equations
• On the Cauchy problem for higher-order nonlinear dispersive equations
• Kawahara equation in a bounded domain
• Well-posedness for the fifth-order shallow water equations
• Weak solutions of a mixed problem in a half-strip for a generalized Kawahara equation
• Sur quelques généralisations de l'équation de Korteweg-de Vries
• On the Benney-Lin and Kawahara equations
• Higher-order stationary dispersive equations on bounded intervals
• Korteweg--de Vries and Kuramoto--Sivashinsky equations in bounded domains
• The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results
• The supercritical generalized KdV equation: global well-posedness in the energy space and below
• Existence of blow-up solutions in the energy space for the critical generalized KdV equation
• 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
• Global well-posedness for the modified korteweg-de vries equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Higher-Order Nonlinear Dispersive Equations
• Global existence for the critical generalized KdV equation
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
• Instability of solitons for the critical generalized Korteweg-de Vries equation

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