Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（11）
• 页码范围: 2229-2248
• 页数: 20页
• 语种: 英文

摘要

For any fixed Alfvén number,the local well-posedness is proved for the equations of three-dimensional ideal incompressible magneto-hydrodynamics in a domain with boundaries.Under appropriate conditions,a smooth solution is shown to exist in a time interval independent of the Alfvén number,and the solutions of the original system tend to the solutions of a two-dimensional Euler flow coupled with a linear transport equation as the Alfvén number goes to zero.