Stability of a bubble containing fluid of different density to a surrounding fluid

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The situation is that we have a bubble containing a fluid of density p1 surrounded by a fluid ofdensity p2. We will be looking at the stability of the bubble surface when the pressure differenceacross the bubble boundary differs. If the surrounding fluid pressure is greater than the interior ofthe bubble the radius starts to decrease. It would be interesting to see the bubble collapse under suchpressure changes. Later in the project we aim to include other interesting effects such as rotationor added boundaries. The stability analysis will be closely related to M. Plesset's paper [1] whichdescribes the stability of a bubble surface using spherical harmonics. We will be able to potentiallyverify the theory developed with experimental simulations by using the magnet lab provided by thePhysics department. We can create a 'levitating' bubble in a volume of liquid within the magneticbore. It is because of this laboratory that we are able to perform such experiments without usingexpensive methods conducted in space. Looking at this problem could give a better insight intocavitating bubbles which can cause damage to structures such as propeller blades on ships as wellas possible applications to inertial connement fusion.