The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain
type: Item
instance of: scholarly article
title: The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain
zbMATH Open document ID: 1501.35331
author: Xiaojing Xu
author: Yueyuan Zhong
author: Ning Zhu
published in: Nonlinear Analysis. Real World Applications
publication date: 2022-11-11T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q86
Mathematics Subject Classification ID: 76B03
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7614822
zbMATH Keywords: inviscid Boussinesq equations
zbMATH Keywords: fractional diffusion
zbMATH Keywords: well-posedness
zbMATH Keywords: bounded domain
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2022.103732
OpenAlex ID: W4294073611
cites work: Vorticity and incompressible flow
cites work: Q4798343
cites work: Q3199050
cites work: Q3866537
cites work: Global regularity for the 2D Boussinesq equations with partial viscosity terms
cites work: Global well-posedness of the viscous Boussinesq equations
cites work: Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
cites work: On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
cites work: On the global well-posedness of the Euler-Boussinesq system with fractional dissipation
cites work: Nonlinear maximum principles for dissipative linear nonlocal operators and applications
cites work: Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
cites work: Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
cites work: Global regularity results of the 2D Boussinesq equations with fractional Laplacian dissipation
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: The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
cites work: A global regularity result for the 2D Boussinesq equations with critical dissipation
cites work: Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation
cites work: Global well-posedness for 2D Boussinesq system with general supercritical dissipation
cites work: Regularity criteria for the 2D Boussinesq equations with supercritical dissipation
cites work: On the global regularity of \(N\)-dimensional generalized Boussinesq system.
cites work: Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation
cites work: Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation
cites work: The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion
cites work: Global smooth solution to the 2D Boussinesq equations with fractional dissipation
cites work: On the global regularity of the 2D Boussinesq equations with fractional dissipation
cites work: 2D inviscid heat conductive Boussinesq equations on a bounded domain
cites work: Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion
cites work: Initial-boundary value problem for two-dimensional viscous Boussinesq equations
cites work: Smoothing estimates of 2d incompressible Navier-Stokes equations in bounded domains with applications
cites work: On the regularity for the Boussinesq equations in a bounded domain
cites work: Persistence of regularity for the viscous Boussinesq equations with zero diffusivity
cites work: Global regularity and long-time behavior of the solutions to the 2D Boussinesq equations without diffusivity in a bounded domain
cites work: Partially dissipative 2D Boussinesq equations with Navier type boundary conditions
cites work: Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
cites work: Critical SQG in bounded domains
cites work: Estimates near the boundary for critical SQG
cites work: Hölder regularity up to the boundary for critical SQG on bounded domains
cites work: Global weak solutions for generalized SQG in bounded domains
cites work: Global Weak Solutions for SQG in Bounded Domains
cites work: Local and global strong solutions for SQG in bounded domains
cites work: Q5628582
cites work: Q3349325
cites work: Navier--Stokes Equations with Navier Boundary Conditions for a Bounded Domain in the Plane
cites work: On the blow-up of solutions of the 3-D Euler equations in a bounded domain
cites work: On classical solutions of the two-dimensional non-stationary Euler equation
cites work: On the Euler equations of incompressible perfect fluids
cites work: Q4893762
cites work: Q5189317
cites work: Where Sobolev interacts with Gagliardo-Nirenberg
DOI: 10.1016/J.NONRWA.2022.103732
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