9. Let R=[0, L] x [0, H]. Consider the following problem: u = Au-t Uv(x, y,t)=0,...

 

Transcribed Image Text:

9. Let R=[0, L] x [0, H]. Consider the following problem: u = Au-t Uv(x, y,t)=0, u(x, y, 0) = x+ y, (x, y) R,t> 0, (x, y) e aR,t> 0, (x, y) R, where u,, represents the normal derivative. Find the series solution. Does the solution decay to 0 as t o? 9. Let R=[0, L] x [0, H]. Consider the following problem: u = Au-t Uv(x, y,t)=0, u(x, y, 0) = x+ y, (x, y) R,t> 0, (x, y) e aR,t> 0, (x, y) R, where u,, represents the normal derivative. Find the series solution. Does the solution decay to 0 as t o?