Estimating the Approximate Solutions of the Fornberg-Whitham and Oskolkov-Benjamin-Bona-Mahony Equations
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Keywords:
Sobolev space, Approximate solutions, Well-posedness, Non-local formAbstract
In this paper we study the initial value problems of Fornberg-Whitham(FW) and Oskolkov-Benjamin-Bona-Mahony(OBBM) equations which are locally wellposed in the Sobolev space $H^s$ for $s>\frac{3}{2}$. we define the approximate solutions of FW and OBBM equations and compute the errors. Then we estimate the $H^{\sigma}$ -norm of this errors.
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