An spherical bubble with radius R(t), containing gas with negligible density, creates purely radial flow, 𝐮=(ur(r, t), 0,0), in an unbounded bath of a quiescent incompressible liquid with density ρand viscosity μ. Determine ur(t) in terms of R(t), its derivatives. Ignoring body forces, and assuming a pressure of p∞ far from the bubble, find (and solve) an equation for the pressure distribution, p(r, t), outside the bubble. Integrate this equation from r=R to r →∞, and apply an appropriate bound
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