Non blowup of a generalized Boussinesq-Burgers system with nonlinear dispersion relation and large data
DOI10.1016/j.physd.2018.12.006zbMath1451.35029OpenAlexW2907795781WikidataQ128670538 ScholiaQ128670538MaRDI QIDQ2215710
Kun Zhao, Neng Zhu, Zheng-Rong Liu
Publication date: 14 December 2020
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2018.12.006
Cauchy problemlong-time behaviorglobal well-posednessvanishing viscosity limitBoussinesq-Burgers equations
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) 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) Classical solutions to PDEs (35A09)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence and decay rate of the Boussinesq-Burgers system with large initial data
- Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum
- 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
- 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
- Existence of solutions for the Boussinesq system of equations
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- 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
- Quantitative decay of a one-dimensional hybrid chemotaxis model with large data
- Initial-value problems for the Boussinesq equations of water waves
- An evaluation of a model equation for water waves
- 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
- A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
- Convective Linear Stability of Solitary Waves for Boussinesq Equations
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- 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
- 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: Non blowup of a generalized Boussinesq-Burgers system with nonlinear dispersion relation and large data
