On the Boussinesq-Burgers equations driven by dynamic boundary conditions

DOI10.1016/j.jde.2017.10.023zbMath1378.35255OpenAlexW2765885755MaRDI QIDQ1678260

Neng Zhu, Kun Zhao, Zheng-Rong Liu

Publication date: 14 November 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.10.023

zbMATH Keywords

initial-boundary value problemlong-time behaviorglobal well-posednessdynamic boundary conditionsBoussinesq-Burgers equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51)

Related Items

Wave propagation and stabilization in the Boussinesq-Burgers system ⋮ Explicit decay rates for a generalized Boussinesq-Burgers system

Cites Work

• Unnamed Item
• Unnamed Item
• Global existence and decay rate of the Boussinesq-Burgers system with large initial data
• New long time existence results for a class of Boussinesq-type systems
• The Cauchy problem on large time for surface waves Boussinesq systems
• Numerical solution of the `classical' Boussinesq system
• Global existence and asymptotic behavior of the Boussinesq-Burgers system
• Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
• Existence of solutions for a Boussinesq system on the half line and on a finite interval
• Long time existence results for bore-type initial data for BBM-Boussinesq systems
• Boundary layer problem on a hyperbolic system arising from chemotaxis
• Regularity and uniqueness of solutions to the Boussinesq system of equations
• Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
• Stabilization of a Boussinesq system of KdV-KdV type
• Long-time asymptotic behavior of two-dimensional dissipative Boussinesq systems
• Control and stabilization of a family of Boussinesq systems
• Existence of solutions for the Boussinesq system of equations
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Steadily propagating waves of a chemotaxis model
• Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
• Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model
• A Boussinesq system for two-way propagation of nonlinear dispersive waves
• Global well-posedness and zero diffusion limit of classical solutions to 3D conservation laws arising in chemotaxis
• Long-time asymptotic behavior of dissipative Boussinesq systems
• Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis
• Some models for the propagation of bores
• Solitary-wave and multi-pulsed traveling-wave solutions of boussinesq systems
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Derivation of a viscous Boussinesq system for surface water waves
• Initial-value problems for the Boussinesq equations of water waves
• An evaluation of a model equation for water waves
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• A model for the two-way propagation of water waves in a channel
• The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments
• Convective Linear Stability of Solitary Waves for Boussinesq Equations
• Method for Solving the Korteweg-deVries Equation
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
• A note on tsunamis: their generation and propagation in an ocean of uniform depth
• The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II
• Global dynamics of the Boussinesq‐Burgers system with large initial data
• A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis

This page was built for publication: On the Boussinesq-Burgers equations driven by dynamic boundary conditions