TY - JOUR
T1 - Small Alfvén number limit for shallow water magnetohydrodynamics
AU - Ju, Qiangchang
AU - Wang, Jiawei
AU - Xu, Xin
N1 - Publisher Copyright:
© 2023 Elsevier Inc.
PY - 2024/3/1
Y1 - 2024/3/1
N2 - Small Alfvén 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 Alfvén number goes to zero. The approach is also used to study the small Alfvén number limit of the three-dimensional ideal incompressible magnetohydrodynamic equations.
AB - Small Alfvén 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 Alfvén number goes to zero. The approach is also used to study the small Alfvén number limit of the three-dimensional ideal incompressible magnetohydrodynamic equations.
KW - Incompressible magnetohydrodynamic equations
KW - Shallow water magnetohydrodynamic equations
KW - Small Alfv́en number
UR - http://www.scopus.com/inward/record.url?scp=85171982371&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2023.127773
DO - 10.1016/j.jmaa.2023.127773
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AN - SCOPUS:85171982371
SN - 0022-247X
VL - 531
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
M1 - 127773
ER -