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Dayo Ogundipe edited paragraph_2_Mimic_the_derivation__.tex
over 8 years ago
Commit id: ea7f8b9b186c69ae6707148487c0cdd59c2028ac
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Combinding the divergence Theoreom with the fact that v has compact support and v(x,0) = 0 we have,
$$\iint_{-\Omega} \phi_{t}u + \phi_{x}f(u) dxdt = \iint_{-\Omega} [u_{t} + f(u)_{x}]\phi dxdt +
\int_{x= \int_{x} \vareplison (t)} [u^{-} \phiv_{2} + f(u^{-}\phiv_{1}]ds$$