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On the model equations which describe nonlinear wave motions in a rotating fluid

Author: Jong Uhn Kim
Journal: Trans. Amer. Math. Soc. 287 (1985), 403-417
MSC: Primary 35Q20; Secondary 76U05
MathSciNet review: 766227
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Abstract: This paper concerns mathematical aspects of the two model equations describing nonlinear wave motions in a rotating fluid. We establish local existence of solutions and show that singularities occur in a finite time under certain hypotheses. We also show that these equations admit nonconstant travelling wave solutions.

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Keywords: Nonlinear wave motion, rotating fluid, local existence of solution, formation of singularities, periodic travelling wave solution
Article copyright: © Copyright 1985 American Mathematical Society

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