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The phrase "a classical problem" is correct and usable in written English.
It can be used to refer to a well-known or traditional issue that has been studied or discussed extensively in a particular field.
Example: "In mathematics, the traveling salesman problem is considered a classical problem that has intrigued researchers for decades."
Alternatives: "a traditional problem" or "a well-known problem".
Exact(60)
He demonstrated his method on a classical problem: finding all points P such that the product of the distances from P to certain lines equals the product of the distances to other lines.
Axisymmetrical piezoelectric vibration is a classical problem.
Tradeoff between concentration and CTs' removal is a classical problem.
Flow of a viscous fluid past a stretching sheet is a classical problem in fluid dynamics.
Recall that this problem becomes a classical problem if parameters (gamma_{1},gamma_{2}=0).
The analysis of rock slope stability is a classical problem for geotechnical engineers.
The rejection of perturbations is a classical problem in control theory.
Fluid flow past a cylinder is a classical problem of fluid mechanics and convective heat transfer.
The economic load dispatch problem (ELDP) is a classical problem in the power systems community.
A classical problem is identifying the mechanisms and circuitry underlying these computations.
Online frequency estimation of a sinusoidal signal is a classical problem and has many practical applications.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com