Does anyone know any good references for a moving boundary problem? I am looking at a cylinder of charge being injected into a fluid, the PDE is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

-\nabla^{2}\varphi +a\frac{\partial^{2}\varphi}{\partial t^{2}}+b\frac{\partial\varphi}{\partial t}=0

[/tex]

I want [itex]\varphi =\varphi_{0}[/itex], a constant on the moving boundary [itex]x=v_{0}t[/itex]

Can anyone suggest some possible solutions?

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# Moving boundary problems

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