期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 531, 期 1, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127773
关键词
Small Alfven number; Shallow water; magnetohydrodynamic equations; Incompressible
The shallow water magnetohydrodynamic equations with ill-prepared initial data in the small Alfven number limit are proven to converge to the solution of a one-dimensional system coupled with a linear system using the fast averaging method. This method is also applied to study the small Alfven number limit of the three-dimensional ideal incompressible magnetohydrodynamic equations.
Small Alfven number limit of the shallow water magnetohydrodynamic equations with ill-prepared initial data is proved by applying fast averaging method. It is rigorously justified that the solutions of the original system tend to the solution of a one-dimensional system coupled with a linear system as the Alfven number goes to zero. The approach is also used to study the small Alfven number limit of the three-dimensional ideal incompressible magnetohydrodynamic equations.(c) 2023 Elsevier Inc. All rights reserved.
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