Long-time solvability of the Navier-Stokes-Boussinesq equations with almost periodic initial large data

zbMath1367.76017arXiv1109.6088MaRDI QIDQ5495385

Slim Ibrahim, Tsuyoshi Yoneda

Publication date: 4 August 2014

Full work available at URL: https://arxiv.org/abs/1109.6088

zbMATH Keywords

Boussinesq approximationalmost periodic functionsNavier-Stokes equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Almost and pseudo-almost periodic solutions to PDEs (35B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items

Stability and large-time behavior of the inviscid Boussinesq system for the micropolar fluid with damping ⋮ On 2-D Boussinesq equations for MHD convection with stratification effects ⋮ Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects* ⋮ On the effect of fast rotation and vertical viscosity on the lifespan of the \(3D\) Primitive equations ⋮ Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects ⋮ Global existence and convergence of nondimensionalized incompressible Navier-Stokes equations in low Froude number regime ⋮ Resonant interaction of Rossby waves in two-dimensional flow on a \(\beta\) plane ⋮ Global wellposedness of magnetohydrodynamics for Boussinesq system with partial viscosity and zero magnetic diffusion ⋮ Local solvability and loss of smoothness of the Navier-Stokes-Maxwell equations with large initial data ⋮ Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation ⋮ On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations ⋮ Near resonant approximation of the rotating stratified Boussinesq system on a 3-torus