Remarks on the improved regularity criterion for the 2D Euler-Boussinesq equations with supercritical dissipation
type: Item
instance of: scholarly article
title: Remarks on the improved regularity criterion for the 2D Euler-Boussinesq equations with supercritical dissipation
zbMATH Open document ID: 1358.35139
author: Yong-Cai Geng
author: Sumit K. Garg
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2017-01-31T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 6679319
zbMATH Keywords: 2D Boussinesq equations
zbMATH Keywords: supercritical dissipation
zbMATH Keywords: regularity criterion
zbMATH Keywords: Besov space
MaRDI profile type: Publication
full work available at URL: s00033-016-0742-z
OpenAlex ID: W2555368905
cites work: Global regularity results for the 2D Boussinesq equations with partial dissipation
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
cites work: Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
cites work: Global regularity for the 2D Boussinesq equations with partial viscosity terms
cites work: Local existence and blow-up criterion for the Boussinesq equations
cites work: Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
cites work: A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
cites work: Nonlinear maximum principles for dissipative linear nonlocal operators and applications
cites work: Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
cites work: Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
cites work: Local well-posedness and blow up criterion for the Inviscid Boussinesq system in H\"{o}lder spaces
cites work: Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
cites work: GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
cites work: Small-scale structures in Boussinesq convection
cites work: Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
cites work: Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
cites work: On the global well-posedness of the Euler-Boussinesq system with fractional dissipation
cites work: Global well-posedness of the viscous Boussinesq equations
cites work: The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
cites work: Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces
cites work: Vorticity and incompressible flow
cites work: On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
cites work: Q3199050
cites work: Q5741098
cites work: On the differentiability of the solution to an equation with drift and fractional diffusion
cites work: Hölder estimates for advection fractional-diffusion equations
cites work: Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
cites work: Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation
cites work: The lifespan of solutions to the inviscid 3D Boussinesq system
cites work: On the differentiability issue of the drift-diffusion equation with nonlocal Lévy-type diffusion
cites work: Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
cites work: Blow-up criterion of smooth solutions for the Boussinesq equations
cites work: On the regularity criterion for the 2D Boussinesq equations involving the temperature
cites work: Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
DOI: 10.1007/S00033-016-0742-Z
Recommended article: Regularity criteria for the 2D Boussinesq equations with supercritical dissipation
Recommended article: Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation
Recommended article: Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation
Recommended article: Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation
Recommended article: An alternative approach to global regularity for the 2D Euler-Boussinesq equations with critical dissipation
Recommended article: On the regularity criteria of the 2D Boussinesq equations with partial dissipation
Recommended article: An improved regularity criterion for the 2D inviscid Boussinesq equations
Recommended article: The 2D regularized incompressible Boussinesq equations with general critical dissipations
Recommended article: A global regularity result for the 2D Boussinesq equations with critical dissipation
Recommended article: Remarks on the global regularity for the super-critical 2D dissipative quasi-geostrophic equation
description: scientific article; zbMATH DE number 6679319