2 7.28, §2 P.D.E. Model

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• Finite domain $\bar \Omega$: $0\le x\le\ell$
• Unknown pressure $u=u(x,t)$
• Hyperbolic
• Two initial conditions
• One homogeneous Neumann boundary condition at $x=0$ and a homogeneous Dirichlet condition at $x=\ell$.
• Constant speed of sound $a$ and much smaller flow velocities.

Try D'Alembert