A global regularity result for the 2D Boussinesq equations with critical dissipation
DOI10.1007/s11854-018-0073-4zbMath1420.35263arXiv1411.1362OpenAlexW2905456770WikidataQ128736046 ScholiaQ128736046MaRDI QIDQ2000394
Jiahong Wu, Atanas G. Stefanov
Publication date: 28 June 2019
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.1362
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Classical solutions to PDEs (35A09)
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Cites Work
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- On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
- On the global well-posedness of a generalized 2D Boussinesq equations
- Global regularity results for the 2D Boussinesq equations with vertical dissipation
- Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
- Initial-boundary value problem for two-dimensional viscous Boussinesq equations
- Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
- Kinetic derivation of fractional Stokes and Stokes-Fourier systems
- The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
- Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
- Infinite Prandtl number convection
- The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion
- Global well-posedness of the viscous Boussinesq equations
- A maximum principle applied to quasi-geostrophic equations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- On a maximum principle and its application to the logarithmically critical Boussinesq system
- 2D inviscid heat conductive Boussinesq equations on a bounded domain
- Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation
- Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum
- Finite time blow up for a 1D model of 2D Boussinesq system
- Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations
- Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
- Global regularity of the two-dimensional incompressible generalized magnetohydrodynamics system
- Small global solutions to the damped two-dimensional Boussinesq equations
- Generalized 2D Euler-Boussinesq equations with a singular velocity
- 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
- Vorticity and Incompressible Flow
- Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
- Internal heating driven convection at infinite Prandtl number
- The Kato-Ponce Inequality
- Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
- 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
- Euler Equations, Navier-Stokes Equations and Turbulence
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations
- Applied Analysis of the Navier-Stokes Equations
- Surface quasi-geostrophic dynamics
- Local well-posedness and blow up criterion for the Inviscid Boussinesq system in H\"{o}lder spaces
- The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
- Potentially singular solutions of the 3D axisymmetric Euler equations