Karşılaştırmalı asimtotik açılımlar ile dalga asimtotikleri

ABSTRACT WAVE ASYMPTOTICS USING MATCHED ASYMPTOTIC EXPANSIONS Kanat,Kadir Master, Department of Mathematics Supervisor: Prof. Dr. Oğuz Yılmaz May 2005, 74 pages First, basic definitions and theorems regarding asymptotic power series expan sions are presented. Matched asymptotic expansions are presented next, together with some regular and singular simple problems. Finally, transmission past a par tially immersed cylinder is analyzed using matched asymptotic expansions. Fluid domain is divided into three parts: Right and left inner regions, outer region and surface wave regions. First, right inner region approximation is carried out for the first two orders. Then by using matching technique, outer region is approx imated. Again, by applying matching technique left inner region approximation is determined. Keywords: Matched asymptotic expansions, Wave asymptotics, Transmission and diffraction of surface waves, Green's function, Wave-maker problem. n