ScienceAsia 29 (2003): 393-399 |doi: 10.2306/scienceasia1513-1874.2003.29.393

Weakly Nonlinear Solutions of Flows Past An Applied Pressure Distribution

Ratinan Boonklurb and Jack Asavanant^*

ABSTRACT: Steady two-dimensional flows due to an applied pressure distribution in water of finite depth are considered. Gravity is included in the free surface condition. A unified asymptotic approach is employed to derive the forced Korteweg-de Vries equation. Existence theorems for symmetric and nonsymmetric solutions are given and proven. Numerical solutions are also provided to supplement these findings.

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Department of mathematics, Faculty of Science Chulalongkorn University, Bangkok 10330, Thailand

* Corresponding author, Email: ajc\ack@chula.ac.th

Received 12 May 2003, Accepted 29 Aug 2003