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Waves against a 135 degree dock online

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^^ «W YORK UNfVERSlTV

M«murr of mathematical sciences

LIBRARY
4 WaAmpon Pfece, New Yoii 3, N. y



I






NEW YORK UNIVERSITY ""*"

INSTITUTE OF MATHEMATICAL SCIENCES
LIBRARY
4 Washington Place, New York 3, N. Y



■*T»» Against a l»fr° Dock



e atmly tho method of t-ewy and Stoker to find prof,resslnr
wares sgninst a 1*6° dock.




F, } 1



tk two potential functions i md .£ ^ which satisfy tho
conditions t



1)5" - ^ • on y • 0, x >

y

•)_£,- on tho dook y • x. y < £~- 5 *"*«-/ ekr/***"'

In addition, j£ end .J?, should behave at o> like
o *

o



Mb' |B *V -0 for z - r*- *■** r >



•.



TIM fuootloft* ^ «ad * x >r» o*t«iA»d free *v»it*bl» ooat-la»tloao of
oolutloa* of tho following Uao»r ordlaaiy dif foroetial



f) (B.1) (|B-l)f # (o) • #



•) (0-1) U^l^U) • A -j^j. #



8 • X ly



A • rool



f) (D.1) (lo-Df^c.) .2j—



I • rool



Tho riCbt hoad oldoo >w*o tho yr o y or ty tu*t thojr mm for*
laoclaory oa tho ourfooo oa* tho rofloottoa of tho ourfooo la tho dook*
ofcilo tho loft hoad oidoo *ro tho ooorotor* Mob oorroo***! to tho

kry ooadttiea* on tho ourfooo nod tho rof loot ion of tho ourfooa lss



/t



dt - / ^r- dt ♦ 2nl,
1 * 1 t -is *





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Online LibraryNew York University. Institute of Mathematical SciWaves against a 135 degree dock → online text (page 1 of 1)