The global existence and analyticity of a mild solution to the 3D regularized MHD equations
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Publication:6152125
DOI10.1007/s10473-024-0311-zOpenAlexW4391819547MaRDI QIDQ6152125
Zheng-An Yao, Cuntao Xiao, Hua Qiu
Publication date: 11 March 2024
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10473-024-0311-z
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)
Cites Work
- A remark on the two-dimensional magneto-hydrodynamics-alpha system
- Finite dimensional global attractor for 3D MHD-\(\alpha\) models: a comparison
- Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations
- On the Cauchy problem for a Leray-\(\alpha \)-MHD model
- Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations
- Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations
- Asymptotic decay of solutions to 3D MHD equations
- Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model
- Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics
- Global well-posedness of the generalized magnetohydrodynamic equations
- Large time behaviour of solutions to the 3D-NSE in \(\mathcal{X}^\sigma\) spaces
- Note on global regularity of 3D generalized magnetohydrodynamic-\(\alpha\) model with zero diffusivity
- Temporal decay estimate of solutions to 3D generalized magnetohydrodynamic system
- Global regularity for the incompressible MHD-\({\alpha}\) system with fractional diffusion
- Global regularity of 3D generalized incompressible magnetohydrodynamic-\(\alpha\) model
- Global well-posedness of solutions for magnetohydrodynamics-\(\alpha\) model in \(\mathbb{R}^3\)
- Global well-posedness of the three dimensional magnetohydrodynamics equations
- Analytical study of certain magnetohydrodynamic-α models
- Global well-posedness for two modified-Leray-α-MHD models with partial viscous terms
- Global well-posedness of the Cauchy problem for certain magnetohydrodynamic-α models
- Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
- Global mild solutions of Navier‐Stokes equations
- Existence and analyticity of Lei-Lin solution to the Navier-Stokes equations
- Global Cauchy problem for the 2-D magnetohydrodynamic-\(\alpha \) models with partial viscous terms
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