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Explore the mathematical foundations of nuclear physics through this 58-minute conference talk examining the liquid drop model, a fundamental theoretical framework used to describe atomic nuclei. Delve into the mathematical principles underlying this classical model that treats the nucleus as a charged liquid drop, learning how it explains nuclear binding energies, fission processes, and stability patterns across different isotopes. Discover the model's applications in understanding nuclear structure, its limitations, and its role in modern nuclear theory. Gain insights into the mathematical techniques used to analyze nuclear properties and the physical intuition behind treating complex many-body nuclear systems using fluid dynamics analogies.