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In other words, are there still problems in Classical Physics the solutions of which are still unknown?

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- Thread starter MHD93
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In other words, are there still problems in Classical Physics the solutions of which are still unknown?

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Maybe classical chaos is still the frontier.

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arildno

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In other words, are there still problems in Classical Physics the solutions of which are still unknown?

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There are lots of unanswered questions in classical mechanics, for example on how, and why, streamlines separates from a curved wall, questions concerning turbulence and much else besides.

Those two examples are from fluid mechanics, in solid mechanics, heat transport in aggregate compounds is, I believe, still rather intractable.

So, yes, there is a LOT of research going on in classical mechanics, and always will, since classical mechanics is, and forever will remain, the optimal approximation of physics in the "human-scale" world.

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... in solid mechanics, heat transport in aggregate compounds is, I believe, still rather intractable...

How is this a subject of interest in Classical Mechanics ???

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arildno

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Hmm..you are right.How is this a subject of interest in Classical Mechanics ???

It belongs to classical physics, my bad..

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Thanks people for your replies.

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Many equations that can be built don't have an analytical solution. These can be built completely from classical mechanics, but only numerical solutions exist.

So in general, if there are still analytical solutions that are left to be found for some equations, I suspect they would be of great interest to classical mechanics. I would think that this is mostly in the hands of mathematicians though.

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Applying these laws to a particular situation and trying to find an analytical solution, strictly speaking, is a task for Mathematical Physics. Thus, there may be some problems which do not have a solution in a closed form, but this most certainly does not mean that we do not understand the underlying laws governing these phenomena.

The topic of interest of classical mechanics are systems with finite number of degrees of freedom. The case of systems with (physically) infinite number of degrees of freedom belongs to the field of Continuum Physics. However, the very concept of a continuum is an idealization that is bound to fail at some point.

There are two limitations of Classical Mechanics: when the speeds of the particles become comparable to the speed of light and when the classical action attains values comparable to the Planck constant.

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In other words, are there still problems in Classical Physics the solutions of which are still unknown?

Tons: off the top of my head- glass transition, fracture, turbulence, wetting, systems far from equilibrium.

There is no satisfactory theory for any of these.

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George Jones

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There are two limitations of Classical Mechanics: when the speeds of the particles become comparable to the speed of light and when the classical action attains values comparable to the Planck constant.

If special relativity does not fall under the umbrella of classical mechanics, then surely general relativity is non-classical as well.

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