Strongly stratified limit for the 3D inviscid Boussinesq equations
From MaRDI portal
Publication:1738292
DOI10.1007/s00205-018-01347-4zbMath1447.35278OpenAlexW2904707917WikidataQ128723509 ScholiaQ128723509MaRDI QIDQ1738292
Publication date: 29 March 2019
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-018-01347-4
PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stratification effects in inviscid fluids (76B70)
Related Items (8)
Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain ⋮ Global existence and convergence of nondimensionalized incompressible Navier-Stokes equations in low Froude number regime ⋮ Asymptotics for the semi-dissipative 2D Boussinesq system ⋮ The continuous dependence of the viscous Boussinesq equations uniformly with respect to the viscosity ⋮ Rotation-dominant three-scale limit of the Cauchy problem to the inviscid rotating stratified Boussinesq equations ⋮ Long time solutions for the 2D inviscid Boussinesq equations with strong stratification ⋮ Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit ⋮ Stratified Boussinesq equations with a velocity damping term
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long time existence of classical solutions for the 3D incompressible rotating Euler equations
- Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations
- Improved inhomogeneous Strichartz estimates for the Schrödinger equation
- A priori estimates for the 3D quasi-geostrophic system
- Nonlinear evolution equations and the Euler flow
- On the global well-posedness for Boussinesq system
- Global well-posedness for the primitive equations with less regular initial data
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Asymptotics and lower bound for the lifespan of solutions to the primitive equations
- Dispersive effects of weakly compressible and fast rotating inviscid fluids
- Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity
- Convergence to stratified flow for an inviscid 3D Boussinesq system
- Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\)
- Slow convergence to vortex patches in quasigeostrophic balance
- Generalized Strichartz inequalities for the wave equation
- On oscillatory solutions to the complete Euler system
- Global well-posedness and asymptotics for a penalized Boussinesq-type system without dispersion
- On a singular limit for stratified compressible fluids
- Strichartz estimates for the Euler equations in the rotational framework
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- On classical solutions of the two-dimensional non-stationary Euler equation
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- On singular limits arising in the scale analysis of stratified fluid flows
- Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
- Inviscid incompressible limits of strongly stratified fluids
- GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
- Dispersive estimates for the stably stratified Boussinesq equations
- Commutator estimates and the euler and navier-stokes equations
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- Endpoint Strichartz estimates
- Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
- Local existence and blow-up criterion for the Boussinesq equations
- Global Well-Posedness and Asymptotics for a Geophysical Fluid System
- Fast Singular Oscillating Limits and Global Regularity for the 3D Primitive Equations of Geophysics
- Limiting case of the Sobolev inequality in BMO, with application to the Euler equations
- Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces
This page was built for publication: Strongly stratified limit for the 3D inviscid Boussinesq equations
