Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source
type: Item
instance of: scholarly article
title: Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source
zbMATH Open document ID: 1471.35004
author: Jun Zhou
author: Huan Zhang
published in: Journal of Nonlinear Science
publication date: 2021-08-17T00:00:00Z
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35G31
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7382567
zbMATH Keywords: global existence
zbMATH Keywords: decay estimates
zbMATH Keywords: blow-up
zbMATH Keywords: potential well methods
MaRDI profile type: Publication
full work available at URL: s00332-021-09730-4
OpenAlex ID: W3181869906
cites work: Well-posedness of the ``good'' Boussinesq equation in analytic Gevrey spaces and time regularity
cites work: Regular decay of solutions of strongly damped nonlinear hyperbolic equations
cites work: Time decay of solutions of semilinear strongly damped generalized wave equations
cites work: A model for the two-way propagation of water waves in a channel
cites work: Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
cites work: Q4311808
cites work: Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation
cites work: Local existence and blow-up criterion for the Boussinesq equations
cites work: Initial boundary value problem of the generalized cubic double dispersion equation
cites work: On small amplitude solutions to the generalized Boussinesq equations
cites work: On Boussinesq's paradigm in nonlinear wave propagation
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: A numerical study of an ill-posed Boussinesq equation arising in water and nonlinear lattices: Filtering and regularization techniques
cites work: Higher-order Boussinesq equations for two-way propagation of shallow water waves
cites work: Inverse scattering and the boussinesq equation
cites work: Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
cites work: Stability of solitary waves for the generalized higher-order Boussinesq equation
cites work: Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential
cites work: Large data asymptotic behaviour for the generalized Boussinesq equation
cites work: Local solutions in Sobolev spaces and unconditional well-posedness for the generalized Boussinesq equation
cites work: Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
cites work: Global rough solutions to the cubic nonlinear Boussinesq equation
cites work: Existence and scattering theory for Boussinesq type equations with singular data
cites work: Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities
cites work: Existence, decay and blow-up for solutions to the sixth-order generalized Boussinesq equation
cites work: Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect
cites work: Nonlinear Dispersive Rayleigh–Taylor Instabilities in Magnetohydrodynamic Flows
cites work: Nonlinear Dispersive Instabilities in Kelvin–Helmholtz Magnetohydrodynamic Flows
cites work: General soliton solutions for nonlinear dispersive waves in convective type instabilities
cites work: Q4851730
cites work: Global existence of Cauchy problem for Boussinesq paradigm equation
cites work: Global existence to generalized Boussinesq equation with combined power-type nonlinearities
cites work: Finite time blow up of the solutions to Boussinesq equation with linear restoring force and arbitrary positive energy
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
cites work: Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain
cites work: On the Cauchy problem for a generalized Boussinesq equation
cites work: Global existence of small solutions for a generalized Boussinesq equation
cites work: Asymptotic behavior of solutions of a generalized Boussinesq type equation
cites work: Q5890172
cites work: Decay estimates for a dissipative-dispersive linear semigroup and application to the viscous Boussinesq equation
cites work: Global existence and pointwise estimates of solutions for the multidimensional generalized Boussinesq-type equation
cites work: On potential wells and vacuum isolating of solutions for semilinear wave equations
cites work: On potential wells and applications to semilinear hyperbolic equations and parabolic equations
cites work: Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
cites work: Potential well method for Cauchy problem of generalized double dispersion equations
cites work: Instability of solitary waves for generalized Boussinesq equations
cites work: Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
cites work: Decay and scattering of small solutions of a generalized Boussinesq equation
cites work: Strong instability of solitary-wave solutions of a generalized Boussinesq equation
cites work: Q4720050
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: Eigenvalues, and instabilities of solitary waves
cites work: Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation
cites work: On the Blow-up of Certain Solutions of the “Good” Boussinesq Equation
cites work: Three-Dimensional Weakly Nonlinear Shallow Water Waves Regime and its Traveling Wave Solutions
cites work: Q4033021
cites work: The initial-boundary value problem for the generalized double dispersion equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Q5182003

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Q3361261

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Existence and Uniqueness of a Solution to the Cauchy Problem for the Damped Boussinesq Equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: On the Cauchy problem for the damped Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: On spatially periodic solutions of the damped Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: On the initial-boundary value problem for the damped Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global existence and nonexistence of the initial-boundary value problem for the dissipative Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: The Cauchy problem for the dissipative Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Q3165049

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Asymptotic decay estimate of solutions to the generalized damped Bq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Q4613587

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Q4684734

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: New wave-breaking criteria for the Fornberg-Whitham equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Q4151274

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global existence and blow-up for a fourth order parabolic equation involving the Hessian

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global existence and finite time blow-up of the solution for a thin-film equation with high initial energy

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: The Cauchy problem for a class of the multidimensional Boussinesq-type equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global existence and blowup of solutions for the multidimensional sixth-order ``good'' Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global existence and blow up for damped generalized Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Q4636924

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Local and global existence of solutions for the Cauchy problem of a generalized Boussinesq equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Cauchy problem for the multi-dimensional Boussinesq type equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global existence and nonexistence of solution for Cauchy problem of two-dimensional generalized Boussinesq equations

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Blow-up for a thin-film equation with positive initial energy

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global asymptotical behavior and some new blow-up conditions of solutions to a thin-film equation

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: \(L^{2}\)-norm blow-up of solutions to a fourth order parabolic PDE involving the Hessian

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Ground state solution for a fourth-order elliptic equation with logarithmic nonlinearity modeling epitaxial growth

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (cites work)
cites work: Behavior of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (DOI)
DOI: 10.1007/S00332-021-09730-4

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Existence and asymptotic behavior of solution of Cauchy problem for the damped sixth-order Boussinesq equation
Similarity Score: 0.9373832
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Q4613587
Similarity Score: 0.93338126
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Well-posedness results for a sixth-order logarithmic Boussinesq equation
Similarity Score: 0.9311997
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Global existence and asymptotic behavior of solution for the sixth order Boussinesq equation with damped term
Similarity Score: 0.93010986
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Q5741089
Similarity Score: 0.92711765
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping
Similarity Score: 0.9256958
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain
Similarity Score: 0.9240593
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Q3187706
Similarity Score: 0.9219891
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Local well-posedness for the sixth-order Boussinesq equation
Similarity Score: 0.918051
Recommender Run: Recommender Run 3

Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source (Recommended article)
Recommended article: Decay estimate of solutions to the sixth order damped Boussinesq equation
Similarity Score: 0.91532946
Recommender Run: Recommender Run 3