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2d PDE boundary condition and NDSolve

• To: mathgroup at smc.vnet.net
• Subject: [mg64184] 2d PDE boundary condition and NDSolve
• From: "Borut Levart" <BoLe79 at gmail.com>
• Date: Sat, 4 Feb 2006 04:13:38 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Dear Mathematica users,

I would like to NDSolve a 2D fluid PD-equation for the velocity vector,
- its x and y scalar components u[x,y,t] and v[x,y,t], and I would like
to specify specific boundary conditions. I can do this for the most
simple cases like: u[0,y,t] == 0 and u[l,y,t] == 0 for some l, but how
would I specify that a normal component should be zero on the line y ==
x Tan[a] for some angle a,
Is this at all possible to specify, and would NDSolve solve it?

I.e.:

a = Pi/3
u[x, Tan[a] x, t] + v[x, Tan[a] x, t] == 0


Thank you for answering,
Borut Levart