Global regularity of 2D Rayleigh–Bénard equations with logarithmic supercritical dissipation

Baoquan Yuan, Xinyuan Xu, Changhao Li

Type: Article

Publication Date: 2024-07-22

Citations: 0

DOI: https://doi.org/10.1016/j.na.2024.113617

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
Nonlinear Analysis - View

Similar Works

Action	Title	Year	Authors
+	Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation	2017	Zhuan Ye
+	Global regularity for logarithmically critical 2D MHD equations with zero viscosity	2016	Léo Agélas
+	Global regularity of the axisymmetric Navier–Stokes model with logarithmically supercritical dissipation	2013	Jianli Liu Keyan Wang
+	Global Regularity of the Logarithmically Supercritical MHD System in Two-dimensional Space	2020	Min Cheng
+ PDF Chat	Global regularity of 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation	2024	Baoquan Yuan Xinyuan Xu Changhao Li
+	Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation	2016	Jiahong Wu Xiaojing Xu Liutang Xue Zhuan Ye
+	Global regularity of logarithmically supercritical MHD system with improved logarithmic powers	2018	Kazuo Yamazaki
+	Global regularity for the 2D micropolar Rayleigh–Bénard problem with partial dissipation	2022	Haifeng Shang Mengyu Guo
+ PDF Chat	Global Regularity Results of the 2D Boussinesq Equations with Fractional Laplacian Dissipation	2016	Zhuan Ye Xiaojing Xu
+	Global regularity of multi-dimensional Burgers equation with critical dissipation only in one direction	2023	Zhuan Ye
+	An alternative approach to global regularity for the 2D Euler–Boussinesq equations with critical dissipation	2019	Zhuan Ye
+	Global regularity results for the 2D Boussinesq equations with vertical dissipation	2011	Dhanapati Adhikari Chongsheng Cao Jiahong Wu
+	Global Regularity for the 2D Boussinesq Equations with Temperature-Dependent Viscosity	2019	Bo‐Qing Dong Zhuan Ye Xiaoping Zhai
+	Global regularity of 2D temperature-dependent MHD-Boussinesq equations with zero thermal diffusivity	2021	Zhuan Ye
+	Global regularity of the 2D magnetohydrodynamic equations with fractional anisotropic dissipation	2018	Zhuan Ye
+	Remarks on the improved regularity criterion for the 2D Euler–Boussinesq equations with supercritical dissipation	2016	Zhuan Ye
+	Global well-posedness for the 2D Euler-Boussinesq-Bénard equations with critical dissipation	2024	Zhuan Ye
+	Global regularity of magneto-micropolar equations with logarithmically dissipation	2022	Jingbo Wu Xiaoqin Nan Yan Jia
+	Global regularity of the 2D generalized MHD equations with velocity damping and Laplacian magnetic diffusion	2022	Zhaoyun Zhang
+	Global regularity of 2D generalized MHD equations with magnetic damping	2019	Caochuan Ma Zhaoyun Zhang

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (22)

Action	Title	Year	Authors
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+	Blow-up criterion of smooth solutions for the Boussinesq equations	2014	Zhuan Ye
+	Existence and nonuniqueness of rectangular solutions of the Bénard problem	1968	Paul H. Rabinowitz
+ PDF Chat	Global well-posedness of slightly supercritical active scalar equations	2014	Michael G. Dabkowski Alexander Kiselev Luís Silvestre Vlad Vicol
+ PDF Chat	Well-posedness of the initial value problem for the Korteweg-de Vries equation	1991	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Attractors for the Bénard problem: existence and physical bounds on their fractal dimension	1987	Ciprian Foiaş O. P. Manley Roger Témam
+	The 2D Boussinesq equations with logarithmically supercritical velocities	2012	Dongho Chae Jiahong Wu
+	Commutator estimates and the euler and navier‐stokes equations	1988	Tosio Kato Gustavo Ponce
+ PDF Chat	GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO	2010	Raphaël Danchin Marius Paicu
+	The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation	2014	Quansen Jiu Changxing Miao Jiahong Wu Zhifei Zhang