How could one explain the collision of two continuous mass distributions in view of
gravitation (Newtonanian and General relativity) ?
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In the context of classical mechanics, your question is probably ill-formed.
Since point masses have no physical extent, the gravitational force increases without bound as
Infinite force on a finite mass implies infinite acceleration (F = ma) which implies infinite velocity, which is inconsistent with special relativity.
In General Relativity, a point mass is a black hole. The collision of two black holes is a very complicated problem that has to be solved using numeric supercomputer simulation. The short story is that they end up coalescing to a single black hole.
There are some complications from this answer that could arise from spin-orbit coupling, but I don't think that's what you're asking about.