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The short answers:

1. It answers how macroscopic equations of e.g., fluid dynamics are compatible with Newton's law, when they single out an arrow of time while Newton's laws do not.

2. It was solved in the 1800s if you made an unjustified technical assumption called molecular chaos (https://en.wikipedia.org/wiki/Molecular_chaos). This work is about whether you can rigorously prove that molecular chaos actually does happen.

3. There are no applications outside of potentially other pure math research. For a physics/engineering perspective the whole theory was fine by assuming molecular chaos.



> 3. There are no applications outside of potentially other pure math research.

I would feel remiss not to say: such statements rarely hold


In this case, what the research says is that the approximations we have already been using for a long time are correct. "You're already right, keep doing what you're doing!" is not generally something people consider a "practical application".


That's high praise!




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