Cover Image

Global well-posedness of the free boundary problem for incompressible viscous resistive MHD in critical Besov spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhang, Wei, Fu, Jie, Hao, Chengchun, Yang, Siqi
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35R35, 76D03, 76W05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface
by: Hao, Chengchun, et al.
Published: (2023)

On the well-posedness of the Hall-MHD system in a critical setting of Besov-Morrey type
by: Ferreira, Lucas C. F., et al.
Published: (2024)

Well-posedness of the electron MHD with partial resistivity
by: Dai, Mimi, et al.
Published: (2025)

Global well-posedness and large time behavior of 3D incompressible inhomogeneous magnetohydrodynamic equations in the exterior of a cylinder
by: Liu, Jitao, 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)

Well-posedness and blowup of 1D electron magnetohydrodynamics
by: Dai, Mimi
Published: (2025)

Energy equality of the weak solutions to the fractional Navier-Stokes / MHD equations
by: Feng, Yi, et al.
Published: (2025)

Long time dynamics and anomalous dissipation of energy in viscous forced active scalar equations
by: Friedlander, Susan, et al.
Published: (2026)

Finite-Time Splash in Free Boundary Problem of 3D Neo-Hookean Elastodynamics
by: Zhang, Wei, et al.
Published: (2025)

Blowup for the forced electron MHD
by: Dai, Mimi
Published: (2025)

Existence, asymptotic behaviour and convergence of a generalised 3D Muskat problem in stable regime
by: Khan, Qasim, et al.
Published: (2026)

Self-similar singularities for electron MHD
by: Dai, Mimi, et al.
Published: (2024)

Non-unique solutions for electron MHD
by: Dai, Mimi
Published: (2024)

Discretely self-similar solutions for electron MHD
by: Vukotic, Nada Adzic, et al.
Published: (2025)

Large bulk viscosity limit for compressible MHD equations in critical Besov spaces
by: Ciampa, Gennaro, et al.
Published: (2026)

Exponential stability of a free boundary problem with spherical symmetry for a gas bubble immersed in a bounded incompressible liquid
by: Hao, Chengchun, et al.
Published: (2024)

Maximal $L_1$-regularity of the Navier-Stokes equations with free boundary conditions via a generalized semigroup theory
by: Shibata, Yoshihiro, et al.
Published: (2023)

Energy equality of the weak solutions to non-Newtonian fluids equations
by: Feng, Yi, et al.
Published: (2024)

Ill-posedness of $2\frac12$D electron MHD
by: Dai, Mimi
Published: (2024)

On the 2D Plasma-Vacuum Interface Problems for Ideal Incompressible MHD
by: Liu, Sicheng, et al.
Published: (2025)

Calmed Ohmic Heating for the 2D Magnetohydrodynamic-Boussinesq System: Global Well-posedness and Convergence
by: Enlow, Matthew, et al.
Published: (2024)

Stabilizing effect of surface tension for the linearized MHD-Maxwell free interface problem
by: Trakhinin, Yuri
Published: (2024)

Global well-posedness of the three-dimensional non-isentropic compressible magnetohydrodynamic equations under a scaling-invariant smallness condition
by: Xu, Lin, et al.
Published: (2025)

Half Strong Ill-Posedness of $2 \frac{1}{2}$D Electron Magnetohydrodynamics with Fractional Resistivity
by: Xiaotong, et al.
Published: (2026)

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)

Convergence and non-convergence phenomena in Euler-Maxwell to MHD transitions
by: Kim, Dong-ha, et al.
Published: (2025)

Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models
by: Pan, Anping
Published: (2026)

Global well-posedness of 3-D density-dependent incompressible MHD equations with variable resistivity
by: Abidi, Hammadi, et al.
Published: (2025)

Kolmogorov's dissipation number and determining wavenumber for dyadic models
by: Dai, Mimi, et al.
Published: (2021)

Well-posedness, magnetic helicity conservation, inviscid limit and asymptotic stability for the generalized Navier-Stokes-Maxwell equations
by: Kang, Kyungkeun, et al.
Published: (2024)

Well-posedness, magnetic helicity conservation, inviscid limit and asymptotic stability for the generalized Navier-Stokes-Maxwell equations with the Hall effect
by: Kang, Kyungkeun, et al.
Published: (2024)

Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
by: Fei, Mingwen, 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)

On a 1D nonlocal transport of the incompressible porous media equation
by: Liu, Caifeng, et al.
Published: (2025)

Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains
by: Prange, Christophe, et al.
Published: (2023)

Finite time blow-up in a 1D model of the incompressible porous media equation
by: Kiselev, Alexander, et al.
Published: (2024)

Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations
by: Collot, Charles, et al.
Published: (2025)

$C^{1/5^{-}}$ Convex Integration Solutions of Ideal MHD
by: Giardi, Matteo, et al.
Published: (2026)

Large amplitude traveling waves for the non-resistive MHD system
by: Ciampa, Gennaro, et al.
Published: (2024)

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