Cover Image

On well-posedness of a mildly dissipative family of active scalar equations in borderline Sobolev spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kumar, Anuj, Martinez, Vincent R.
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs 76B03, 35Q35, 35Q86, 35B45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Asymptotic study of supercritical generalized SQG equations in critical Sobolev spaces
by: Kumar, Anuj
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)

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

Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium
by: Kang, Kyungkeun, et al.
Published: (2023)

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

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

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

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

Existence of nested polygonal vortex patches for the generalized SQG equation
by: Cuba, Edison, et al.
Published: (2025)

Classification of finite-time blow-up of strong solutions to the incompressible free boundary Euler equations with surface tension
by: Hao, Chengchun, et al.
Published: (2025)

Compressible Navier-Stokes-Landau-Lifshitz-Gilbert system: derivations and well-posedness
by: Guo, Boling, et al.
Published: (2026)

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

Local well-posedness for a moving rigid region in Surface Quasi-Geostrophic equations
by: Godard-Cadillac, Ludovic, et al.
Published: (2026)

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

Long-time stability of a stably stratified rest state in the inviscid 2D Boussinesq equation
by: Jurja, Catalina, et al.
Published: (2024)

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

Conservation and Breakdown of Modulus of Continuity in the Propagation of Loglog Vortex for 2D Euler equation
by: Jeon, Woohyu
Published: (2023)

Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models
by: Foldes, Juraj, et al.
Published: (2023)

Propagation of logarithmic regularity and inviscid limit for the 2D Euler equations
by: Ciampa, Gennaro, et al.
Published: (2024)

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

Global regularity of 2D Rayleigh-Bénard equations with logarithmic supercritical dissipation
by: Yuan, Baoquan, et al.
Published: (2024)

Gravity water waves over constant vorticity flows: From laminar flows to touching waves
by: Gonçalves, Francisco
Published: (2025)

Rigidity of symmetric doubly-periodic water waves near shear flows
by: Seth, Douglas Svensson, et al.
Published: (2025)

Long-time existence for the 2D ideal Boussinesq and the 2D density-dependent Euler equations
by: Bae, Hantaek, et al.
Published: (2025)

Enhanced dissipation and stability of Poiseuille flow for two-dimensional Boussinesq system
by: Wang, Gaofeng
Published: (2024)

Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities
by: Abels, Helmut, et al.
Published: (2023)

Stability of a Stationary Solution to a 1-D Model for the MHD
by: Sun, Yunhao
Published: (2025)

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

Traveling waves near Poiseuille flow for the 2D Euler equation
by: Castro, Ángel, et al.
Published: (2024)

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 decay of solutions to the anisotropic Boussinesq equations near the hydrostatic balance in half space $\mathbb{R}_+^3$
by: Yang, Wangrong, et al.
Published: (2026)

Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces
by: Qin, Yuming, et al.
Published: (2025)

Global well-posedness of the one-phase Muskat problem with surface tension
by: Dong, Hongjie, et al.
Published: (2026)

Asymptotics of two-dimensional hydroelastic waves: The zero mass, zero bending limit
by: Liu, Shunlian, et al.
Published: (2024)

The effect of linear stratification on the stability of a rest state in the 2D inviscid Boussinesq system
by: Jurja, Catalina, et al.
Published: (2025)

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)