System of partial differential equations

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System of partial differential equations by

Ciro Santilli 34 Updated 2024-11-30 Created 1970-01-01

In many important applications, what you have to solve is not just a single partial differential equation, but multiple partial differential equations coupled to each other. This is the case for many key PDEs including:

Maxwell's equations, see: Section "Explicit scalar form of the Maxwell's equations"
Navier-Stokes equations
Schrödinger equation, see: Section "Why are complex numbers used in the Schrodinger equation?"

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