Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to $H^1$ initial data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cao, Chongsheng, Li, Jinkai, Titi, Edriss S., Wang, Dong
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Mathematical Physics 26D10, 35Q35, 35Q86, 76D03, 76D05, 86A05, 86A10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent-McWilliams-Redi Eddy Parametrization Model
by: Korn, Peter, et al.
Published: (2023)

Plastic limit of a viscoplastic Burgers equation -- A toy model for sea-ice dynamics
by: Liu, Xin, et al.
Published: (2026)

Global Existence and Uniqueness of Strong Solutions for a Phase Transition Model in Atmospheric Dynamics
by: Carnevale, Giada Cianfarani, et al.
Published: (2026)

Global well-posedness of the 2D primitive equations with fractional horizontal dissipation
by: Tan, Changhui, et al.
Published: (2025)

Well-posedness and ill-posedness of the primitive equations with fractional horizontal dissipation
by: Abdo, Elie, et al.
Published: (2025)

Global Strong Well-posedness of the heat-conducting, compressible primitive Equations
by: Zöchling, Tarek
Published: (2026)

On the local well-posedness of fractionally dissipated primitive equations with transport noise
by: Hu, Ruimeng, et al.
Published: (2025)

Global strong well-posedness of the CAO-problem introduced by Lions, Temam and Wang
by: Binz, Tim, et al.
Published: (2025)

Non-unique stationary solutions of even active scalar equations
by: Dai, Mimi, et al.
Published: (2024)

Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum
by: Liu, Xin, et al.
Published: (2024)

Global well-posedness and temporal decay estimates for the viscous $β$-plane equations
by: Yoshizawa, Tomoaki
Published: (2026)

The Primitive Equations in the scaling invariant space $L^{\infty}(L^1)$
by: Giga, Yoshikazu, et al.
Published: (2017)

Long-term behaviour of the primitive equations with wind-driven boundary conditions: Convergence to the Ekman spiral
by: Binz, Tim
Published: (2025)

Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping
by: Liu, Hui, et al.
Published: (2023)

Asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones
by: Sha, Kaijian, et al.
Published: (2026)

Vanishing layer thickness limit of convection in multilayer porous media
by: Sha, Kaijian, et al.
Published: (2025)

Sharp Material Interface Limit of the Darcy-Boussinesq System
by: Dong, Hongjie, et al.
Published: (2025)

Vanishing permeability limit of convection in multilayer porous media
by: Sha, Kaijian, et al.
Published: (2026)

Fractional Voigt-regularization of the 3D Navier--Stokes and Euler equations: Global well-posedness and limiting behavior
by: Brzeźniak, Zdzislaw, et al.
Published: (2024)

On the absence of anomalous dissipation for the Navier-Stokes equations with Navier boundary conditions: a sufficient condition
by: Bardos, Claude, et al.
Published: (2025)

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system
by: Shi, Yaoming
Published: (2026)

Energy-variational solutions for geodynamical two-phase flows -- From logarithmic to double-obstacle potentials by variational convergence
by: Cheng, Fan, et al.
Published: (2026)

Interaction of geophysical flows with sea ice dynamics
by: Binz, Tim, et al.
Published: (2022)

Well-posedness of Hibler's parabolic-hyperbolic sea ice model
by: Brandt, Felix
Published: (2024)

Vanishing Vertical Viscosity in Two-Dimensional Anisotropic Navier-Stokes Equations with No-Slip Boundary Conditions: An $L^p$ result
by: Cao, Chongsheng, et al.
Published: (2025)

The incompressible inhomogeneous Navier-Stokes-Vlasov-Fokker-Planck equations: global well-posedness and inviscid limit
by: Li, Fucai, et al.
Published: (2025)

Global Well-posedness of the Two Dimensional Beris-Edwards System with General Laudau-de Gennes Free Energy
by: Liu, Yuning, et al.
Published: (2018)

Global well-posedness of the elastic-viscous-plastic sea-ice model with the inviscid Voigt-regularisation
by: Boutros, Daniel W., et al.
Published: (2025)

A vertically integrated model with phase change for aquifers in cold firn
by: Shadab, Mohammad Afzal, et al.
Published: (2025)

Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces
by: Del Sarto, Gianmarco, et al.
Published: (2025)

A revisit of patch solutions for the 2D Loglog-Euler type equation
by: Tan, Changhui, et al.
Published: (2025)

On large-scale oceanic wind-drift currents
by: Puntini, Christian, et al.
Published: (2026)

Large-scale Multigrid with Adaptive Galerkin Coarsening
by: Böhm, Fabian, et al.
Published: (2025)

Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$
by: Delgadino, Matias G., et al.
Published: (2025)

Finite-time blow-up of two $(1+1)$D systems rigorously derived from the 3D axisymmetric Euler equations
by: Shi, Yaoming
Published: (2026)

On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity
by: Duchêne, Vincent, et al.
Published: (2022)

On well-posedness of a mildly dissipative family of active scalar equations in borderline Sobolev spaces
by: Kumar, Anuj, et al.
Published: (2023)

Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations
by: Boutros, Daniel W., et al.
Published: (2023)

On the initial-boundary value problem for the 2D partially dissipative Oldroyd-B model: global well-posedness and large time stability
by: Nong, Zhenrong, et al.
Published: (2025)

Doubly Connected V-States in Geophysical Models: A General Framework
by: Hmidi, Taoufik, et al.
Published: (2025)