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Cauchy Problem for the Rotational-Modified Benjamin Equation

Farida Bousbia, Fatma Zohra Nouri


In this research paper, we are mainly interested in the Cauchy problem for the so-called Rotational-Modified Benjamin equation. This equation was introduced to describe the propagation of long internal waves in two rotating fluids. By using a sharp bilinear estimate, we prove that the problem is well posed in a Sobolev space of a specific order.


Rotational-Modified Benjamin, Cauchy problem, Sharp bilinear estimate.

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