1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

464 CHAPTER 11 • APPLICATIONS OF H ARMONI C F UNCTIONS

)'

Figure 11.24

5. Find the temperature function T (x, y) in the semi-infinite strip - 2 w < x < ~, y > 0

that satisfies the following boundary values (shown in Figure 11 .25).

r(i, y) = lOO,

T (x, y) = 0,

r(-;. y) =loo,

T = 100

_JI.

2

Figure 11.25

y

T=O

for y > O;

-71' 1T

for T < x < 2 ;

for y > 0.

T= 100

rr

2

6. Find the temperature function T (x, y) in the domain r > 1, 0 < (} < 1T that satisfies
   i(l - z)
   the following boundary values (shown in Figure 11.26). Hint: w =
   1
   .

T=O -1

Figure 11. 26

)'

+z

T =O