The 2D Boussinesq equations with logarithmically supercritical velocities
From MaRDI portal
Publication:436120
DOI10.1016/j.aim.2012.04.004zbMath1248.35156arXiv1111.2082OpenAlexW2062148080MaRDI QIDQ436120
Publication date: 30 July 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.2082
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (44)
On the global regularity of the 2D Boussinesq equations with fractional dissipation ⋮ Global regularity results of the 2D Boussinesq equations with fractional Laplacian dissipation ⋮ Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation ⋮ Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain ⋮ Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces ⋮ Regularity to Boussinesq equations with partial viscosity and large data in three-dimensional periodic thin domain ⋮ On the degenerate Boussinesq equations on surfaces ⋮ Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System ⋮ Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion ⋮ Regularity criterion for the 3D Boussinesq equations with partial viscous terms in the limiting cases ⋮ On the differentiability issue of the drift-diffusion equation with nonlocal Lévy-type diffusion ⋮ Stability of 3D perturbations near a special 2D solution to the rotating Boussinesq equations ⋮ Smoothing estimates of 2d incompressible Navier-Stokes equations in bounded domains with applications ⋮ Stability of the 3D Boussinesq equations with partial dissipation near the hydrostatic balance ⋮ Global well-posedness for 2D Boussinesq system with general supercritical dissipation ⋮ Vortex theory for two dimensional Boussinesq equations ⋮ Temperature patches for a generalised 2D Boussinesq system with singular velocity ⋮ Unnamed Item ⋮ Global Sobolev regular solution for Boussinesq system ⋮ Small global solutions to the damped two-dimensional Boussinesq equations ⋮ Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation ⋮ Generalized 2D Euler-Boussinesq equations with a singular velocity ⋮ The regularized Boussinesq equations with partial dissipations in dimension two ⋮ Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity ⋮ Ergodic and mixing properties of the Boussinesq equations with a degenerate random forcing ⋮ Remarks on global regularity of the 2D Boussinesq equations with fractional dissipation ⋮ On the global well-posedness of a generalized 2D Boussinesq equations ⋮ Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion ⋮ Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity ⋮ Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum ⋮ Optimal decay estimates for 2D Boussinesq equations with partial dissipation ⋮ On the regularity criterion for the 2D Boussinesq equations involving the temperature ⋮ Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations ⋮ Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation ⋮ Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation ⋮ On the blowup criteria and global regularity for the non-diffusive Boussinesq equations with temperature-dependent viscosity coefficient ⋮ Blow-up criterion of smooth solutions for the Boussinesq equations ⋮ Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation ⋮ On the well-posedness of stochastic Boussinesq equations with transport noise ⋮ Global smooth solution to the 2D Boussinesq equations with fractional dissipation ⋮ The lifespan of solutions to the inviscid 3D Boussinesq system ⋮ The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich's type data ⋮ Large time dynamics of 2D semi-dissipative Boussinesq equations ⋮ The stabilizing effect of the temperature on buoyancy-driven fluids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
- Nonlocal maximum principles for active scalars
- Global regularity results for the 2D Boussinesq equations with vertical dissipation
- On the regularity of a class of generalized quasi-geostrophic equations
- Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
- Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
- On the global well-posedness for Boussinesq system
- Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
- On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
- The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
- Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
- Global well-posedness of the viscous Boussinesq equations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
- Global well-posedness for a slightly supercritical surface quasi-geostrophic equation
- GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
- On the global well-posedness of the Boussinesq system with zero viscosity
- Global regularity for a modified critical dissipative quasi-geostrophic equation
- Entropy Numbers and Approximation Numbers in Function Spaces, II
- Some Remarks on Topological Fluid Mechanics
This page was built for publication: The 2D Boussinesq equations with logarithmically supercritical velocities