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Partial Differential Equations of Mathematical Physics (PDF 105p)

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Partial Differential Equations of Mathematical Physics (PDF 105p)

Partial Differential Equations of Mathematical Physics (PDF 105p)

This note aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the fundamental equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics. Topics covered includes: Kinematics and Conservation, Strain, Stress, Ideal Fluids and the Euler Equations, Elastic Fluids and Acoustic Waves, Newtonian Fluids and the Navier-Stokes Equations, Linear Elasticity, Thermodynamics and the Heat Equation, Porous Flow, Electrodynamics and Maxwell’s Equations.

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s107 Pages
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