Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion
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Publication:341396
DOI10.1007/s11425-016-5145-2zbMath1354.35112OpenAlexW2318209404MaRDI QIDQ341396
Zhaoyin Xiang, Zhifei Zhang, XiaoXia Ren
Publication date: 16 November 2016
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-016-5145-2
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for mixed-type systems of PDEs (35M31)
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Cites Work
- On the global well-posedness for the Boussinesq system with horizontal dissipation
- Global regularity for the 3D axisymmetric MHD equations with horizontal dissipation and vertical magnetic diffusion
- Global small solutions of 2-D incompressible MHD system
- Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
- Local existence for the non-resistive MHD equations in Besov spaces
- Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
- The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- Global small solutions to a complex fluid model in three dimensional
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- Behavior of several two-dimensional fluid equations in singular scenarios
- Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
- Some Analytical Issues for Elastic Complex Fluids
- Some mathematical questions related to the mhd equations
- Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems
- Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion
- Global Small Solution to the 2D MHD System with a Velocity Damping Term
- Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
- Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
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