3 Consider MCt, x) solution the heat equation of dm_grim In , xe [o] ). ot / ② show that if a satisfies homogeneous Dire

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3 Consider Mct X Solution The Heat Equation Of Dm Grim In Xe O Ot Show That If A Satisfies Homogeneous Dire 1 (232.65 KiB) Viewed 22 times

3 Consider MCt, x) solution the heat equation of dm_grim In , xe [o] ). ot / ② show that if a satisfies homogeneous Direchlet Bc., then n lim n(t, xl=o. totoo b Show that then if u sohistles homogeneous Neumann BC., lim n(t, x1 = (u60, x) dx F average temperature, Sulo,xlox toto Hint First show that MCt, a) converges to a constant function, To deduce the value, a useful identity is that , for hol Scan ) = 0 cog Chrtx) dx=0