摘要
For any fixed Alfvén number, the local well-posedness is proved for the equations of threedimensional 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.
For any fixed Alfvén number, the local well-posedness is proved for the equations of threedimensional 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.
基金
supported by the Israel Science Foundation-National Natural Science Foundation of China Joint Research Program (Grant No. 11761141008)
supported by the National Basic Research Program of China (Grant No. 2014CB745002)
National Natural Science Foundation of China (Grant No. 11631008)
supported by National Natural Science Foundation of China (Grant Nos. 11571046, 11471028 and 11671225)
Beijing Natural Science Foundation (Grant No. 1182004)
