Regularity and uniqueness of solutions to the Boussinesq system of equations
From MaRDI portal
Publication:762368
DOI10.1016/0022-0396(84)90160-8zbMath0557.35074OpenAlexW1971193413MaRDI QIDQ762368
Publication date: 1984
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(84)90160-8
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45)
Related Items
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 ⋮ Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system ⋮ A mathematical justification of the momentum density function associated to the KdV equation ⋮ Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart ⋮ On the Boussinesq-Burgers equations driven by dynamic boundary conditions ⋮ Long time existence for the Boussinesq-Full dispersion systems ⋮ The Boussinesq systems on the background of a line solitary wave ⋮ Modeling shallow water waves ⋮ Convergence of mechanical balance laws for water waves: from KdV to Euler ⋮ The Cauchy problem on large time for surface waves Boussinesq systems ⋮ Numerical solution of the `classical' Boussinesq system ⋮ Long Time Existence for a Strongly Dispersive Boussinesq System ⋮ Wave propagation and stabilization in the Boussinesq-Burgers system ⋮ Non blowup of a generalized Boussinesq-Burgers system with nonlinear dispersion relation and large data ⋮ Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation ⋮ Solitary-wave and multi-pulsed traveling-wave solutions of boussinesq systems ⋮ The Boussinesq system revisited ⋮ L 2 decay estimate of BCL equation ⋮ Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography ⋮ Error estimates for Galerkin approximations of the “classical” Boussinesq system ⋮ Finite volume schemes for dispersive wave propagation and runup ⋮ Numerical modelling of two-way propagation of nonlinear dispersive waves ⋮ Mechanical balance laws for Boussinesq models of surface water waves ⋮ Boundary value problems for Boussinesq type systems ⋮ Long time existence results for bore-type initial data for BBM-Boussinesq systems ⋮ Modulational instability in a full‐dispersion shallow water model ⋮ Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system ⋮ Global solutions and ill-posedness for the Kaup system and related Boussinesq systems ⋮ Global bifurcation of solitary waves to the Boussinesq \textit{abcd} system ⋮ The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space ⋮ Global well-posedness of the BCL system with viscosity ⋮ Some models for the propagation of bores ⋮ Global dynamics of the Boussinesq‐Burgers system with large initial data ⋮ Explicit decay rates for a generalized Boussinesq-Burgers system ⋮ Long time existence for a two-dimensional strongly dispersive Boussinesq system ⋮ On the numerical study of nonlinear initial-boundary value problems or initial-value problems ⋮ Equations for bi-directional waves over an uneven bottom ⋮ A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation ⋮ The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II
Cites Work
