Well-posedness of Korteweg-de Vries-Burgers equation on a finite domain

DOI10.1007/s13226-016-0210-7zbMath1388.35172OpenAlexW2562252906MaRDI QIDQ1702400

Jie Li, Kangsheng Liu

Publication date: 28 February 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-016-0210-7

zbMATH Keywords

well-posednessnonhomogeneous boundary conditionsKorteweg-de Vries-Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of ferroelectrics (82D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Exponential stability of the linear KdV-BBM equation ⋮ BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION ⋮ Local exact controllability to the trajectories of the Korteweg-de Vries-Burgers equation on a bounded domain with mixed boundary conditions ⋮ Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach

Cites Work

• Global well-posedness and inviscid limit for the Korteweg-de Vries-Burgers equation
• Semigroups of linear operators and applications to partial differential equations
• Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: The periodic case
• A non-linear equation incorporating damping and dispersion
• New class of solutions of the Korteweg-de Vries-Burgers equation
• Boundary-value problem for the Korteweg-de Vries-Burgers type equation
• Unnamed Item

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