Global existence and uniqueness of weak solutions for the MHD equations with large $L^3$-initial values
Fuente:
arXiv
Saved in:
| Main Authors: | Lai, Baishun, Tang, Ge, Xu, Ziying |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Quantitative regularity for the MHD equations via the localization technique in frequency space
by: Lai, Baishun, et al.
Published: (2024)
by: Lai, Baishun, et al.
Published: (2024)
Non-uniqueness of Leray weak solutions of the forced MHD equations
by: Wang, Jun, et al.
Published: (2024)
by: Wang, Jun, et al.
Published: (2024)
Non-uniqueness of weak solutions to the 3D Hall-MHD equations on the plane
by: Peng, Yi, et al.
Published: (2025)
by: Peng, Yi, et al.
Published: (2025)
Renormalised solutions to reaction-diffusion systems with interface conditions: Global existence and weak-strong uniqueness
by: Hopf, Katharina, et al.
Published: (2026)
by: Hopf, Katharina, et al.
Published: (2026)
On the existence and uniqueness of weak solutions to elliptic equations with a singular drift
by: Chernobai, Misha, et al.
Published: (2024)
by: Chernobai, Misha, et al.
Published: (2024)
Global regularity for solutions of magnetohydrodynamic equations with large initial data
by: Xu, Xiangsheng
Published: (2024)
by: Xu, Xiangsheng
Published: (2024)
Local existence and uniqueness of solutions for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
by: You, Xiaoguang
Published: (2023)
by: You, Xiaoguang
Published: (2023)
Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems
by: Mîndrilă, Claudiu, et al.
Published: (2025)
by: Mîndrilă, Claudiu, et al.
Published: (2025)
Global existence of weak solutions for Landau-Lifshitz equation with helical derivatives
by: Chen, Bo, et al.
Published: (2026)
by: Chen, Bo, et al.
Published: (2026)
Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation
by: Choi, Young-Pil, et al.
Published: (2023)
by: Choi, Young-Pil, et al.
Published: (2023)
Global existence and stability of viscous Alfvén waves in the large-box limit for MHD systems
by: Xu, Li, et al.
Published: (2025)
by: Xu, Li, et al.
Published: (2025)
Global-in-time existence and uniqueness of classical solutions to the unsteady initial-boundary value problem for the four-velocity planar Broadwell model in a rectangular domain
by: Sobah, Koudzo Togbévi Selom, et al.
Published: (2026)
by: Sobah, Koudzo Togbévi Selom, et al.
Published: (2026)
Global smooth solutions to Navier-Stokes equations with large initial data in critical space
by: Li, Haina, et al.
Published: (2025)
by: Li, Haina, et al.
Published: (2025)
Global weak solutions of 3D compressible magnetohydrodynamic equations subject to large external potential forces with discontinuous initial data and vacuum
by: Chen, Geyuan, et al.
Published: (2025)
by: Chen, Geyuan, et al.
Published: (2025)
Non-uniqueness of weak solutions to the Navier-Stokes equations in R^3
by: Miao, Changxing, et al.
Published: (2024)
by: Miao, Changxing, et al.
Published: (2024)
Forward self-similar solutions to the MHD equations: existence and pointwise estimates
by: Yang, Yifan
Published: (2024)
by: Yang, Yifan
Published: (2024)
Global existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes system in high space dimensions
by: Xu, Xiangsheng
Published: (2024)
by: Xu, Xiangsheng
Published: (2024)
Global weak solutions and incompressible limit of two-dimensional isentropic compressible magnetohydrodynamic equations with ripped density and large initial data
by: Wang, Shuai, et al.
Published: (2025)
by: Wang, Shuai, et al.
Published: (2025)
Global existence and uniqueness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity
by: Jiu, Quansen, et al.
Published: (2024)
by: Jiu, Quansen, et al.
Published: (2024)
Weak solutions to Kolmogorov-Fokker-Planck equations: regularity, existence and uniqueness
by: Auscher, Pascal, et al.
Published: (2024)
by: Auscher, Pascal, et al.
Published: (2024)
Global weak solutions and incompressible limit to the isentropic compressible Navier-Stokes equations in the half-plane with ripped density and large initial data
by: Wang, Shuai, et al.
Published: (2025)
by: Wang, Shuai, et al.
Published: (2025)
A unified theory of existence of suitable weak solutions to the 3D incompressible Navier-Stokes equations for non-decaying initial data
by: Balakrishna, A., et al.
Published: (2025)
by: Balakrishna, A., et al.
Published: (2025)
Instantaneous blowup and non-uniqueness of smooth solutions of MHD
by: Dai, Mimi
Published: (2026)
by: Dai, Mimi
Published: (2026)
Global in-time existence of solutions for the complex-valued Jordan-Moore-Gibson-Thompson equations of Westervelt-type under different conditions on initial data
by: Chen, Wenhui
Published: (2025)
by: Chen, Wenhui
Published: (2025)
Dissipative measure-valued solutions and weak-strong uniqueness for the Euler alignment system
by: Chaudhary, Abhishek, et al.
Published: (2024)
by: Chaudhary, Abhishek, et al.
Published: (2024)
Global existence and stability of solutions for the 2D non-resistive compressible MHD system
by: Zhu, Yi
Published: (2026)
by: Zhu, Yi
Published: (2026)
Strong solutions to the initial-boundary-value problem of compressible MHD equations with degenerate viscosities and far field vacuum in 3D exterior domains
by: Li, Jiaxu, et al.
Published: (2026)
by: Li, Jiaxu, et al.
Published: (2026)
Global weak solutions and incompressible limit to the isentropic compressible magnetohydrodynamic equations in 2D bounded domains with ripped density and large initial data
by: Wang, Shuai, et al.
Published: (2025)
by: Wang, Shuai, et al.
Published: (2025)
Weak and mild solutions to the MHD equations and the viscoelastic Navier-Stokes equations with damping in Wiener amalgam spaces
by: Lai, Chen-Chih
Published: (2025)
by: Lai, Chen-Chih
Published: (2025)
Global solutions to 3D compressible MHD equations with partial magnetic diffusion
by: Wu, Jiahong, et al.
Published: (2025)
by: Wu, Jiahong, et al.
Published: (2025)
Optimal existence of weak solutions for the generalised Navier-Stokes-Voigt equations
by: Kumar, Ankit, et al.
Published: (2026)
by: Kumar, Ankit, et al.
Published: (2026)
Global weak solutions and incompressible limit to the isentropic compressible Navier-Stokes equations in 2D bounded domains with ripped density and large initial data
by: Wang, Shuai, et al.
Published: (2025)
by: Wang, Shuai, et al.
Published: (2025)
Global existence of large solutions to 3-D incompressible Navier-Stokes system
by: Ru, Shaolei
Published: (2024)
by: Ru, Shaolei
Published: (2024)
Existence and uniqueness of weak solutions to a parabolic nonlocal 1-Laplacian equation
by: Li, Dingding, et al.
Published: (2024)
by: Li, Dingding, et al.
Published: (2024)
Global existence of small data weak solutions to the semilinear wave equations with time-dependent scale-invariant damping
by: He, Daoyin, et al.
Published: (2024)
by: He, Daoyin, et al.
Published: (2024)
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow
by: Bonicatto, Paolo, et al.
Published: (2018)
by: Bonicatto, Paolo, et al.
Published: (2018)
Local existence and uniqueness of solution to the two-dimensional inhomogeneous Prandtl equations by energy method
by: Gao, Jincheng, et al.
Published: (2024)
by: Gao, Jincheng, et al.
Published: (2024)
On existence, uniqueness and radiality of normalized solutions to Schrödinger-Poisson equations with non-autonomous nonlinearity
by: Wu, Chengcheng
Published: (2023)
by: Wu, Chengcheng
Published: (2023)
On Type I blowup and $\varepsilon$-regularity criteria of suitable weak solutions to the 3D incompressible MHD equations
by: Hu, Wentao, et al.
Published: (2025)
by: Hu, Wentao, et al.
Published: (2025)
On the existence of vector solutions to nonlinear Schrödinger equations with weak three-wave interaction
by: Kinoshita, T., et al.
Published: (2026)
by: Kinoshita, T., et al.
Published: (2026)
Similar Items
-
Quantitative regularity for the MHD equations via the localization technique in frequency space
by: Lai, Baishun, et al.
Published: (2024) -
Non-uniqueness of Leray weak solutions of the forced MHD equations
by: Wang, Jun, et al.
Published: (2024) -
Non-uniqueness of weak solutions to the 3D Hall-MHD equations on the plane
by: Peng, Yi, et al.
Published: (2025) -
Renormalised solutions to reaction-diffusion systems with interface conditions: Global existence and weak-strong uniqueness
by: Hopf, Katharina, et al.
Published: (2026) -
On the existence and uniqueness of weak solutions to elliptic equations with a singular drift
by: Chernobai, Misha, et al.
Published: (2024)